Is there a loading priority for login_enqueue_scripts?

If you want to load it after jQuery, you can use script dependency… (3rd param)

For example if your scripts depends on jQuery, you can use:

wp_enqueue_script(
    'login-script', 
    plugin_dir_url( __FILE__ ) . 'scripts.js', 
    array( 'jquery' ),
    null,
    true
);