I am new to website development and am developing a WordPress site. Although similar to another question on SO, that question does not use jQuery.AJAX but rather jQuery.post with a request type of 'category'. I have some sort of syntax problem when trying to use AJAX. I have created a simple plugin to enter a name, send it to the server, and have it echoed back. Following is the php file, my-ajax-test.php:
add_action( 'wp_enqueue_scripts', 'ajax_test_enqueue_scripts' );
function ajax_test_enqueue_scripts() {
    wp_enqueue_script( 'my-script-handler', plugins_url( '/my-ajax-test.js', __FILE__ ), array('jquery'), '1.0', true );
    wp_localize_script( 'my-script-handler', 'ajax_test', array(
        'ajax_url' => admin_url( 'admin-ajax.php' )
    ));
}
function my_ajax_test() {
/**** Create Input Form ****************************/
?>
    <h2>Select Persons You Wish to Register</h2>
    <form action="">
    <input type="text" id="ajax_guest_name" name="guest_name">
    <p id="ajax_guest_text">Enter Guest Name</p>
    <br><br>
    <input type="button" id="ajax_rsvp" name="ajax_guest" value="Register Guest">
    </form> 
<?php   
add_action( 'wp_ajax_my_ajax_callback', 'my_ajax_callback' );
function my_ajax_callback() {
    $guest_name = $_POST[ajax_guest_name];
    echo $guest_name;
    die();
}
};
add_shortcode('My-AJAX-Test', 'my_ajax_test');
The JS file, my-ajax-test.js looks like this:
// use wordpresses version of script
var $jq = jQuery.noConflict();
$jq(document).ready(function(){ 
$jq("#ajax_rsvp").click(function(){
/* Send guest name to server via AJAX */
    var g_name = document.getElementById("ajax_guest_name").value;
    alert("RSVP Button was clicked with Guest Name: " + g_name);
$jq.ajax({
    url : ajax_test.ajax_url,
    type : 'post',
    data : {
        action: 'my-ajax-test',
        ajax_guest_name : g_name
    },
    success:function(data) {
        // This outputs the result of the ajax request
        console.log(data);
    },
    error: function(errorThrown){
        console.log(errorThrown);
    }
}); // End of AJAX function
}); // End of button click function
}); // End of Main Document Ready Function
All seems well, but nothing is being sent to the server with the button click. The Console log has an error:
HTTP400: BAD REQUEST - The request could not be processed by the server due to invalid syntax. (XHR)POST - http://localhost:81/wordpress/wp-admin/admin-ajax.php
I keep going over the code to see what I have wrong and can not find it. Any suggestions would be appreciated.