(https://i.stack.imgur.com/VoDIv.png)
(https://i.stack.imgur.com/8drCu.png)
Self explains with the pics
The Question is why are both selected as true (same goes with deny button)? Basically i don't know what's going on but every time i made a selection then select something else in the Jlist then selecting back the original item somehow when i click [accept] button will set both as true.   
update:i just found out that selecting Tony then Ada then click on accept will still set both set.flag"true".
  import java.awt.EventQueue;
  import javax.swing.DefaultListModel;
  import javax.swing.JFrame;
  import javax.swing.JTabbedPane;
  import javax.swing.JTable;
  import javax.swing.event.ListSelectionEvent;
  import javax.swing.event.ListSelectionListener;
  import javax.swing.table.DefaultTableModel;
  import java.awt.BorderLayout;
  import java.awt.Color;
  import javax.swing.JPanel;
  import javax.swing.JLabel;
  import javax.swing.JList;
  import javax.swing.JScrollPane;
  import javax.swing.JButton;
  import java.awt.event.ActionListener;
  import java.util.ArrayList;
  import java.awt.event.ActionEvent;
  import javax.swing.JTextField;
  import java.awt.event.MouseAdapter;
  import java.awt.event.MouseEvent;
 public class Coord {
private Client test = new Client();
private Client test2 = new Client();
private Client test3 = new Client();
private JFrame frame;
private JTable Infotable;
private DefaultTableModel InfoViewModel = new DefaultTableModel();
private DefaultListModel Lmodel = new DefaultListModel();
private JTable table;
private JTable table_1;
private JTextField textField;
private JTextField textField_1;
private JTextField textField_2;
private ArrayList<Client> clientees= new ArrayList<Client>();
/**
 * Launch the application.
 */
public static void main(String[] args) {
    EventQueue.invokeLater(new Runnable() {
        public void run() {
            try {
                Coord window = new Coord();
                window.frame.setVisible(true);
            } catch (Exception e) {
                e.printStackTrace();
            }
        }
    });
}
/**
 * Create the application.
 */
public Coord() {
    initialize();
}
/**
 * Initialize the contents of the frame.
 */
private void initialize() {
    test2.setName("Ada Fong");  // using it for tests
    test3.setName("wuing doig");
    clientees.add(test);
    clientees.add(test2);   
    clientees.add(test3);   //
    frame = new JFrame();
    frame.setBounds(100, 100, 1370, 746);
    frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    JTabbedPane tabbedPane = new JTabbedPane(JTabbedPane.TOP);
    frame.getContentPane().add(tabbedPane, BorderLayout.CENTER);
    JPanel panel = new JPanel();
    tabbedPane.addTab("Main", null, panel, null);
    panel.setLayout(null);
    JLabel lblClientees = new JLabel("Clientees");
    lblClientees.setBounds(20, 24, 209, 14);
    panel.add(lblClientees);
    final JButton AcceptButton = new JButton("Accept ");                    //accept button if clicked return nothing happen 
    AcceptButton.addMouseListener(new MouseAdapter() {
        @Override
        public void mouseClicked(MouseEvent arg0) {
        }
    });
    AcceptButton.setEnabled(false);     
    AcceptButton.setBounds(556, 471, 89, 23);
    panel.add(AcceptButton);
    final JButton DenyButton = new JButton("Deny");                 // deny button if clicked return new InfoViewModel without the selected
    DenyButton.setEnabled(false);
    DenyButton.setBounds(682, 471, 89, 23);
    panel.add(DenyButton);
    JScrollPane scrollPane = new JScrollPane();   // infoview 
    scrollPane.setBounds(274, 36, 497, 435);
    panel.add(scrollPane);      
    Infotable = new JTable();
    scrollPane.setViewportView(Infotable);
    addtomodel(clientees);                               //test case
    final JList<String> ClientRequestList = new JList<String>(Lmodel);
    ClientRequestList.setBounds(20, 36, 209, 578);
    panel.add(ClientRequestList);
    ClientRequestList.addListSelectionListener(new ListSelectionListener() {
        @Override
        public void valueChanged(ListSelectionEvent arg0) {
            if (ClientRequestList.getSelectedValue() != null)
            {
            if (!arg0.getValueIsAdjusting()) 
            {
                final DefaultTableModel EmptyTableModel = new DefaultTableModel(); //  to clear inforview table everytime a different item is selected
                InfoViewModel=                  EmptyTableModel;
                Infotable.setModel(InfoViewModel);//    
                int index=0;
                for(int i =0; i <clientees.size(); i++ ){
                    if(clientees.get(i).getName()== ClientRequestList.getSelectedValue())
                    {
                        index=i;
                        break;
                    }}
                final int index2=index;                 
              if(ClientRequestList.getSelectedValue()==clientees.get(index2).getName())
              {
                InfoViewModel.addColumn("Client's Attribute");
                InfoViewModel.addColumn("Client's Attribute Value");        
                InfoViewModel.addRow(new Object[]{"Name", clientees.get(index2).getName()});
                InfoViewModel.addRow(new Object[]{"Phone Number", clientees.get(index2).getPhone()});
                InfoViewModel.addRow(new Object[]{"A/D",clientees.get(index2).GetADflag() });   
                Infotable.setModel(InfoViewModel);
                if(clientees.get(index2).GetADflag()=="Not Set")
                {
                    DenyButton.setEnabled(true);      
                    DenyButton.addActionListener(new ActionListener() {
                        public void actionPerformed(ActionEvent e) {
                            clientees.get(index2).SetADflag("false");
                             if(ClientRequestList.getSelectedIndex()>=0)
                                Lmodel.remove(ClientRequestList.getSelectedIndex());                                                                  
                            ClientRequestList.setModel(Lmodel);
                        }
                    });
                    AcceptButton.setEnabled(true);
                    AcceptButton.addMouseListener(new MouseAdapter() {
                        public void mouseClicked(MouseEvent arg0) {
                             System.out.println("Current selection: " +     clientees.get(index2));
                            clientees.get(index2).SetADflag("true");
                            AcceptButton.setEnabled(false);
                            DenyButton.setEnabled(false);
                        }
                    });
                }
                else{
                    AcceptButton.setEnabled(false);
                    DenyButton.setEnabled(false);
                }
              }
            }
        }}
    });
    AcceptButton.addMouseListener(new MouseAdapter() {
        @Override
        public void mouseClicked(MouseEvent arg0) {
        }
    });
    JLabel lblDriver = new JLabel("Available Driver");
    lblDriver.setBounds(781, 24, 247, 14);
    panel.add(lblDriver);
    JLabel lblClientsInfo = new JLabel("Client's Info");
    lblClientsInfo.setBounds(274, 24, 497, 14);
    panel.add(lblClientsInfo);
    table = new JTable();
    table.setModel(new DefaultTableModel(
        new Object[][] {
        },
        new String[] {
        }
    ));
    table.setBounds(781, 37, 395, 578);
    panel.add(table);
    JPanel panel_1 = new JPanel();
    tabbedPane.addTab("Driver", null, panel_1, null);
    panel_1.setLayout(null);
    JButton btnUpdateDriverList = new JButton("Add Driver");
    btnUpdateDriverList.addActionListener(new ActionListener() {
        public void actionPerformed(ActionEvent e) {
        }
    });
    btnUpdateDriverList.setBounds(712, 540, 194, 48);
    panel_1.add(btnUpdateDriverList);
    JButton btnRemoveDriver = new JButton("Remove Driver ");
    btnRemoveDriver.addActionListener(new ActionListener() {
        public void actionPerformed(ActionEvent e) {
        }
    });
    btnRemoveDriver.setBounds(10, 602, 194, 48);
    panel_1.add(btnRemoveDriver);
    JLabel lblNewLabel = new JLabel("Driver List");
    lblNewLabel.setBounds(10, 40, 238, 14);
    panel_1.add(lblNewLabel);
    JList list = new JList();
    list.setBounds(10, 53, 238, 535);
    panel_1.add(list);
    table_1 = new JTable();
    table_1.setBounds(275, 54, 427, 535);
    panel_1.add(table_1);
    JLabel lblNewLabel_1 = new JLabel("Driver Info");
    lblNewLabel_1.setBounds(275, 40, 427, 14);
    panel_1.add(lblNewLabel_1);
    JLabel lblNewLabel_2 = new JLabel("Name");
    lblNewLabel_2.setBounds(712, 480, 104, 14);
    panel_1.add(lblNewLabel_2);
    textField = new JTextField();
    textField.setBounds(837, 477, 86, 20);
    panel_1.add(textField);
    textField.setColumns(10);
    JLabel lblCarLicense = new JLabel("Car license");
    lblCarLicense.setBounds(712, 505, 104, 14);
    panel_1.add(lblCarLicense);
    textField_1 = new JTextField();
    textField_1.setColumns(10);
    textField_1.setBounds(837, 502, 86, 20);
    panel_1.add(textField_1);
    JLabel lblStudentId = new JLabel("Student ID");
    lblStudentId.setBounds(712, 455, 104, 14);
    panel_1.add(lblStudentId);
    textField_2 = new JTextField();
    textField_2.setColumns(10);
    textField_2.setBounds(837, 452, 86, 20);
    panel_1.add(textField_2);
    JPanel panel_2 = new JPanel();
    tabbedPane.addTab("Statistic ", null, panel_2, null);
    JPanel panel_3 = new JPanel();
    tabbedPane.addTab("Switch On/Off", null, panel_3, null);
    panel_3.setLayout(null);
    JButton btnTurnOn = new JButton("Turn On");
    btnTurnOn.addActionListener(new ActionListener() {
        public void actionPerformed(ActionEvent arg0) {
        }
    });
    btnTurnOn.setBounds(79, 137, 782, 318);
    panel_3.add(btnTurnOn);
}
@SuppressWarnings("unchecked")
public DefaultListModel addtomodel(ArrayList<Client> test)
{
    for(int i =0; i <test.size(); i++ )
    Lmodel.addElement(test.get(i).getName());
    return Lmodel;
  }
}
////New class starting here///
public class Client {
private  String Name; 
private String Phone; 
private String ADflag; // using it to test the button to press once 
public  String getName()
{
    return Name;
}
public String getPhone()
{
    return Phone;
}
Client ()
{
    setName("Tony Candy");
    Phone = "911";
    ADflag = "Not Set";
}
public void setName(String name) {
    Name = name;
}
public void SetADflag(String state)
{
    ADflag= state;  
}
public String GetADflag()
{
    return ADflag;
}
}
for some Reason the Jlist saved my selection and eveytime i change my selection it was also saved a long with it so when i press accept therefore setting the set.adflag[true] to all of values that was saved during the selecting process
