I am trying to understand how shaders work in OpenGL. I want to achieve the following:
INPUT: 
    1 VAO WITH 1 VBO WHICH CONTAINS 1 vec2(x,y) (i.e. just a point defined in vec2)
---->  
VERTEX SHADER:
    JUST TURNS THE vec2(x,y) INTO A vec4(x,y,0.0,1.0)
---->  
GEOMETRY SHADER:
    RECEIVES vec4(x,y,0.0,1.0) POINT AND TRANSLATES INTO 4 POINTS
    vec4(x-0.2,y-0.2,0.0,1.0) 
    vec4(x-0.2,y+0.2,0.0,1.0) 
    vec4(x+0.2,y+0.2,0.0,1.0) 
    vec4(x+0.2,y-0.2,0.0,1.0) 
---->  
FRAGMENT SHADER:
    DRAWS EACH ONE OF THE 4 PIXELS IN BLUE
So basically I pass a pair of x,y coordinates in a vec2 to the vertex shader and I expect to get 4 points drawn around that point (separated 0.2 in both coordinates from that point). It is like drawing 4 points of a square when you pass it just the center of that imaginary square.
This is the code I have tried:
Vertex shader:
#version 330 core
layout (location = 0) in vec2 squareCenterPosition;
void main()
{
    gl_Position = vec4(squareCenterPosition.x, squareCenterPosition.y, 0.0, 1.0);
}
Geometry shader:
#version 330 core
layout (points) in;
layout (points, max_vertices = 1) out;
void main() {  
    vec4 gl_Position;
    gl_Position = gl_in[0].gl_Position + vec4(-0.2, -0.2, 0.0, 0.0); 
    EmitVertex();
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(-0.2, +0.2, 0.0, 0.0);
    EmitVertex();
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(+0.2, +0.2, 0.0, 0.0); 
    EmitVertex();
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(+0.2, -0.2, 0.0, 0.0);
    EmitVertex();    
    EndPrimitive();
}  
Fragment shader:
#version 330 core
in vec4 vertexColor;
out vec4 color;
void main(void) {
     color = vec4(1.0, 0.0, 0.0, 1.0);
}
JOGL class implementing this:
package openglexample1;
import com.jogamp.common.nio.Buffers;
import com.jogamp.opengl.GL2;
import com.jogamp.opengl.GL3;
import com.jogamp.opengl.GLAutoDrawable;
import com.jogamp.opengl.GLCapabilities;
import com.jogamp.opengl.GLEventListener;
import com.jogamp.opengl.GLProfile;
import com.jogamp.opengl.awt.GLCanvas;
import com.jogamp.opengl.glu.GLU;
import java.io.BufferedWriter;
import java.io.File;
import java.io.FileWriter;
import java.io.IOException;
import java.nio.FloatBuffer;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.util.Arrays;
import java.util.Vector;
import java.util.stream.Stream;
import javax.swing.JFrame;
public class WindowC extends JFrame implements GLEventListener {
    /**
     * @return the glcanvas
     */
    public GLCanvas getGlcanvas() {
        return glcanvas;
    }
    //getting the capabilities object of GL2 profile
    final private GLProfile profile;
    final private GLCapabilities capabilities;
    final private GLCanvas glcanvas;
    // GL PROGAM
    private int glProgram;
    // VAO AND VBOs
    private int vao[] = new int[1];    // VAO GROUPS VBOs, ONLY ONE USED
    private int vbo[] = new int[2];    // 2 VBOs FOR 2 SQUARES
    public WindowC() {
        // OpenGL CAPABILITIES
        profile = GLProfile.get(GLProfile.GL2);
        capabilities = new GLCapabilities(profile);
        // CANVAS
        glcanvas = new GLCanvas(capabilities);
        glcanvas.addGLEventListener(this);
        glcanvas.setSize(400, 400);
        // JFRAME
        this.getContentPane().add(glcanvas);
        this.setSize(this.getContentPane().getPreferredSize());
    }
    @Override
    public void display(GLAutoDrawable drawable) {
        GL2 gl = drawable.getGL().getGL2();
        // USE PROGRAM
        gl.glUseProgram(glProgram);
        // USE VBOs
        gl.glBindBuffer(gl.GL_ARRAY_BUFFER, vbo[0]); 
        gl.glVertexAttribPointer(0, 2, gl.GL_FLOAT, false, 0, 0); // associate 0th vertex attribute with active buffer
        gl.glEnableVertexAttribArray(0); // enable the 0th vertex attribute
        // DRAW POINT
        gl.glDrawArrays(GL2.GL_POINTS, 0, 1);
    }
    @Override
    public void init(GLAutoDrawable drawable) {
        GL2 gl = drawable.getGL().getGL2();
        // CREATE PROGRAM
        glProgram = gl.glCreateProgram();
        // CREATE VERTEX SHADER
        int vertexShader = gl.glCreateShader(GL2.GL_VERTEX_SHADER);
        int geometryShader = gl.glCreateShader(GL2.GL_GEOMETRY_SHADER_BIT);
        int fragmentShader = gl.glCreateShader(GL2.GL_FRAGMENT_SHADER);
        // LOAD SOURCE CODE
        String[] vertexShaderSource = readShader("VertexShader1.glsl");
        gl.glShaderSource(vertexShader, vertexShaderSource.length, vertexShaderSource, null, 0); 
        gl.glCompileShader(vertexShader);
        String[] geometryShaderSource = readShader("GeometryShader1.glsl");
        gl.glShaderSource(geometryShader, geometryShaderSource.length, geometryShaderSource, null, 0); 
        gl.glCompileShader(geometryShader);
        String[] fragmentShaderSource = readShader("FragmentShader1.glsl");
        gl.glShaderSource(fragmentShader, fragmentShaderSource.length, fragmentShaderSource, null, 0); 
        gl.glCompileShader(fragmentShader);
        // ATTACH VERTEX SHADER TO PROGRAM, LINK AND DELETE SHADERS
        gl.glAttachShader(glProgram, vertexShader);
        gl.glAttachShader(glProgram, geometryShader);
        gl.glAttachShader(glProgram, fragmentShader);
        gl.glLinkProgram(glProgram);
        gl.glDeleteShader(vertexShader);
        gl.glDeleteShader(geometryShader);
        gl.glDeleteShader(fragmentShader);
        // CREATE VAO
        gl.glGenVertexArrays(1, vao, 0);
        gl.glBindVertexArray(vao[0]);
        // COORDINATES SQUARES
        float[] coordinatesSquare1 = new float[]{0.5f, 0.5f};
        // CREATE VBOs
        gl.glGenBuffers(1, vbo, 0);
        // POPULATE VBO 1 FOR SQUARE 1
        gl.glBindBuffer(gl.GL_ARRAY_BUFFER, vbo[0]);
        FloatBuffer bufferSquare1 = Buffers.newDirectFloatBuffer(coordinatesSquare1);
        gl.glBufferData(gl.GL_ARRAY_BUFFER, bufferSquare1.limit()*4, bufferSquare1, gl.GL_STATIC_DRAW);            
    }
    @Override
    public void dispose(GLAutoDrawable drawable) {
    }
    @Override
    public void reshape(GLAutoDrawable drawable, int x, int y, int width, int height) {
        System.out.println("reshape");
        this.display(drawable);
    }
    private String[] readShader(String filename) {  
        Vector<String> lines = new Vector<String>();
        try (Stream<String> stream = Files.lines(Paths.get(filename))) {
            stream.forEach(x -> lines.add(x));
        } catch (IOException e) {
            e.printStackTrace();
        }
        // CONVERT VECTOR TO ARRAY
        Object[] objArray = lines.toArray();
        String[] array = Arrays.copyOf(objArray, objArray.length, String[].class);         
        return array;
    } 
}
Java "main" class invoking the JFrame with the GLCanvas:
package openglexample1;
import java.util.Date;
import java.util.concurrent.Executors;
import java.util.concurrent.ScheduledExecutorService;
import java.util.concurrent.TimeUnit;
import javax.swing.WindowConstants;
public class OpenGLExample2 {
    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
      // THIRD WINDOW
      WindowC basicFrame3 = new WindowC();
      basicFrame3.setTitle("WindowC");        
      basicFrame3.setLocation(400,400);
      basicFrame3.setVisible(true);
      basicFrame3.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
    }
}
But I am getting just a white pixel (not blue) at (0.5,0.5) coordinates instead of the four blue pixels. Any tip on how could I further debug this is welcomed.
---
EDIT:
Following below answer I edit code as follows. Uses GL3 only and implements changes stated in the answer, however the result is still the same.
Java OpenGL class:
package openglexample1;
import com.jogamp.common.nio.Buffers;
import com.jogamp.opengl.GL3;
import com.jogamp.opengl.GLAutoDrawable;
import com.jogamp.opengl.GLCapabilities;
import com.jogamp.opengl.GLEventListener;
import com.jogamp.opengl.GLProfile;
import com.jogamp.opengl.awt.GLCanvas;
import com.jogamp.opengl.glu.GLU;
import java.io.BufferedWriter;
import java.io.File;
import java.io.FileWriter;
import java.io.IOException;
import java.nio.FloatBuffer;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.util.Arrays;
import java.util.Vector;
import java.util.stream.Stream;
import javax.swing.JFrame;
public class WindowC extends JFrame implements GLEventListener {
    /**
     * @return the glcanvas
     */
    public GLCanvas getGlcanvas() {
        return glcanvas;
    }
    //getting the capabilities object of GL2 profile
    final private GLProfile profile;
    final private GLCapabilities capabilities;
    final private GLCanvas glcanvas;
    // GL PROGAM
    private int glProgram;
    // VAO AND VBOs
    private int vao[] = new int[1];    // VAO GROUPS VBOs, ONLY ONE USED
    private int vbo[] = new int[2];    // 2 VBOs FOR 2 SQUARES
    public WindowC() {
        // OpenGL CAPABILITIES
        profile = GLProfile.get(GLProfile.GL3);
        capabilities = new GLCapabilities(profile);
        // CANVAS
        glcanvas = new GLCanvas(capabilities);
        glcanvas.addGLEventListener(this);
        glcanvas.setSize(400, 400);
        // JFRAME
        this.getContentPane().add(glcanvas);
        this.setSize(this.getContentPane().getPreferredSize());
    }
    @Override
    public void display(GLAutoDrawable drawable) {
        GL3 gl = drawable.getGL().getGL3();
        // USE PROGRAM
        gl.glUseProgram(glProgram);
        // USE VBOs
        gl.glBindBuffer(gl.GL_ARRAY_BUFFER, vbo[0]); 
        gl.glVertexAttribPointer(0, 2, gl.GL_FLOAT, false, 0, 0); // associate 0th vertex attribute with active buffer
        gl.glEnableVertexAttribArray(0); // enable the 0th vertex attribute
        // DRAW POINT
        gl.glDrawArrays(GL3.GL_POINTS, 0, 1);
    }
    @Override
    public void init(GLAutoDrawable drawable) {
        GL3 gl = drawable.getGL().getGL3();
        // CREATE PROGRAM
        glProgram = gl.glCreateProgram();
        // CREATE VERTEX SHADER
        int vertexShader = gl.glCreateShader(GL3.GL_VERTEX_SHADER);
        int geometryShader = gl.glCreateShader(GL3.GL_GEOMETRY_SHADER);
        int fragmentShader = gl.glCreateShader(GL3.GL_FRAGMENT_SHADER);
        // LOAD SOURCE CODE
        String[] vertexShaderSource = readShader("VertexShader1.glsl");
        gl.glShaderSource(vertexShader, vertexShaderSource.length, vertexShaderSource, null, 0); 
        gl.glCompileShader(vertexShader);
        String[] geometryShaderSource = readShader("GeometryShader1.glsl");
        gl.glShaderSource(geometryShader, geometryShaderSource.length, geometryShaderSource, null, 0); 
        gl.glCompileShader(geometryShader);
        String[] fragmentShaderSource = readShader("FragmentShader1.glsl");
        gl.glShaderSource(fragmentShader, fragmentShaderSource.length, fragmentShaderSource, null, 0); 
        gl.glCompileShader(fragmentShader);
        // ATTACH VERTEX SHADER TO PROGRAM, LINK AND DELETE SHADERS
        gl.glAttachShader(glProgram, vertexShader);
        gl.glAttachShader(glProgram, geometryShader);
        gl.glAttachShader(glProgram, fragmentShader);
        gl.glLinkProgram(glProgram);
        gl.glDeleteShader(vertexShader);
        gl.glDeleteShader(geometryShader);
        gl.glDeleteShader(fragmentShader);
        // CREATE VAO
        gl.glGenVertexArrays(1, vao, 0);
        gl.glBindVertexArray(vao[0]);
        // COORDINATES SQUARES
        float[] coordinatesSquare1 = new float[]{0.5f, 0.5f};
        // CREATE VBOs
        gl.glGenBuffers(1, vbo, 0);
        // POPULATE VBO 1 FOR SQUARE 1
        gl.glBindBuffer(gl.GL_ARRAY_BUFFER, vbo[0]);
        FloatBuffer bufferSquare1 = Buffers.newDirectFloatBuffer(coordinatesSquare1);
        gl.glBufferData(gl.GL_ARRAY_BUFFER, bufferSquare1.limit()*4, bufferSquare1, gl.GL_STATIC_DRAW);            
    }
    @Override
    public void dispose(GLAutoDrawable drawable) {
    }
    @Override
    public void reshape(GLAutoDrawable drawable, int x, int y, int width, int height) {
        System.out.println("reshape");
        this.display(drawable);
    }
    private String[] readShader(String filename) {  
        Vector<String> lines = new Vector<String>();
        try (Stream<String> stream = Files.lines(Paths.get(filename))) {
            stream.forEach(x -> lines.add(x));
        } catch (IOException e) {
            e.printStackTrace();
        }
        // CONVERT VECTOR TO ARRAY
        Object[] objArray = lines.toArray();
        String[] array = Arrays.copyOf(objArray, objArray.length, String[].class);         
        return array;
    } 
}
Geometry Shader:
#version 330 core
layout (points) in;
layout (points, max_vertices = 4) out;
void main() {  
    gl_Position = gl_in[0].gl_Position + vec4(-0.2, -0.2, 0.0, 0.0); 
    EmitVertex();    
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(-0.2, +0.2, 0.0, 0.0);
    EmitVertex();    
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(+0.2, +0.2, 0.0, 0.0); 
    EmitVertex();    
    EndPrimitive();
    gl_Position = gl_in[0].gl_Position + vec4(+0.2, -0.2, 0.0, 0.0);
    EmitVertex();    
    EndPrimitive();
}  

 
    