wp ajax login problem

I am using ajax to login users to wp like this:

function ajax_login_init(){
    wp_register_script('ajax-login-script', get_template_directory_uri() . '/ajax-login-script.js', array('jquery') );
    wp_enqueue_script('ajax-login-script');

    wp_localize_script( 'ajax-login-script', 'ajax_login_object', array(
        'ajaxurl' => admin_url( 'admin-ajax.php' ),
        'loadingmessage' =>__('Logging you in')
    ));

    // Enable the user with no privileges to run ajax_login() in AJAX
    add_action( 'wp_ajax_nopriv_ajaxlogin', 'ajax_login' );
}

// Execute the action only if the user isn't logged in
if (!is_user_logged_in()) {
    add_action('init', 'ajax_login_init');
}

function ajax_login(){
  global $current_user;
  get_currentuserinfo();

    // First check the nonce, if it fails the function will break
    check_ajax_referer( 'ajax-login-nonce', 'security' );

    // Nonce is checked, get the POST data and sign user on
    $info = array();
    $info['user_login'] = $_POST['username'];
    $info['user_password'] = $_POST['password'];
    $info['remember'] = true;

    $user_signon = wp_signon( $info, false );
		    if ( is_wp_error($user_signon) ){
		        echo json_encode(array('loggedin'=>false, 'message'=>'Login failed'));
		    }
		    else {
                     $user_id = $user_signon->ID;
		     wp_set_auth_cookie( $user_id, true );
		     wp_set_current_user($user_id);
		     $current_user = wp_get_current_user();
		     print_r($current_user);
				    $this_user_role = $user_signon->roles[0];
				    $this_user_admin = $user_signon->caps['administrator'];

								if ( $this_user_role == "administrator" && $this_user_admin == "1" ) {
										echo json_encode(array('loggedin'=>true, 'redirectto'=>home_url().'/wp-admin', 'message'=>'Login success'));
								}
								else {
								    	echo json_encode(array('loggedin'=>true, 'redirectto'=>home_url(), 'message'=>'Login success'));
								}
		    }
 exit();
}

And thing is that I see that ajax reply “print_r($current_user);” is printing out user details and that seems to be working, but by some miracle cookies are not set and when page is reloaded it no user is login !?
When I run only this piece of code on my custom login page:
wp_set_auth_cookie( 1, true );
it works, but when I run it through ajax – it doesn’t !? I am a little confused because I am using same function on 7 different (NON_MULTISITE) installs and all works like a charm. So my question is – what is going on ?