Adding jQuery Multiselect to a custom plugin

Hi everyone.
I’m developing a small plugin, where jQuery Multiselect (https://quasipartikel.at/multiselect) would come very handy.

I want to install in on one of option pages in administration

Following the instalation tips (https://quasipartikel.at/2009/05/10/jqueryui-multiselect/) i wrote:

Instead of:

<script type="text/javascript" src="js/jquery-1.3.2.min.js"></script>
<script type="text/javascript" src="js/jquery-ui-1.7.1.custom.min.js"></script>
<script type="text/javascript" src="js/ui.multiselect.js"></script>

i wrote:

function multiselect() {
	wp_enqueue_script('jquery', 'https://www.8ball.lu/wp-content/plugins/billiards-manager/styles/jquery-1.3.2.min.js');
	wp_enqueue_script('jquery-ui', 'https://www.8ball.lu/wp-content/plugins/billiards-manager/styles/jquery-ui-1.7.3.custom.min.js');
	wp_enqueue_script('jquery-ui-multiselect', 'https://www.8ball.lu/wp-content/plugins/billiards-manager/styles/ui.multiselect.js');
	wp_enqueue_style('jquery-ui-custom', 'https://www.8ball.lu/wp-content/plugins/billiards-manager/styles/jquery-ui-1.7.1.custom.css');
}

add_action('init', 'multiselect');

and also added the required javascript

<script type="text/javascript">
$(function(){
  // choose either the full version
  $(".multiselect").multiselect();
  // or disable some features
  $(".multiselect").multiselect({sortable: false, searchable: false});
});
</script>

But nothing works. Scripts are not loaded in the header (I checked sourcecode).
In fact, I want this jquery Multiselect to work only in one of the functions. What do I do wrongly here?

Thank you