Admin Ajax is returning 0 and not Insert data

A 0 status from admin-ajax.php indicates that no “action” is being parsed.

When you enqueue the script you are assigning a handle, this handle needs to be used when you use wp_localize_script and additionally you need to assign the url.
https://codex.wordpress.org/Function_Reference/wp_localize_script

wp_register_script( 'some_handle', 'path/to/myscript.js' );

wp_localize_script( 'some_handle', 'object_name', array( 'ajax_url' => admin_url( 'admin-ajax.php' ) );

wp_enqueue_script( 'some_handle' );

Then for the JS correctly call the URL

    jQuery.ajax({
                                url : object_name.ajax_url,
                                type : "POST",
                                dataType: "json",
                                data : {
                                    data : data,
                                    action : "bakkah_register_session"
                                },
                                success : function(response){
                                    jQuery(".message_register_bakkah").html(response);
                                    jQuery("#bakkah_submit_button").removeAttr("disabled");
                                    obj[0].reset(); 
                                    console.log (response);
                                },
                                error: function(response) {
                                    console.log(response);            
                                }
                            });

Also in your PHP you need to actually return something from the function for jQuery to process and whatever you return needs to be a json_encoded array.

    $whatever['type'] = 'Success';
    $whatever['message'] = 'Some returned msg string';  

return json_encode( $whatever );

Within your jQuery script you would then refer to these values as response.type and response.message allowing you to perform checks….

    success : function(response){
       if( response.type == 'success')    {
            // do something
       }
       else    {
            // Failed, do something else
       } 
    }