Superb jQuery custom content scroller – how to implement

Hello,

I’m trying to implement this great plugin on my new wordpress website. I have to admin that I’m not expert in WP. I have succesfully implemented the scroller on my static website. However I cannot work out how to make it working in WP.
This is an address to plugin.
https://manos.malihu.gr/jquery-custom-content-scroller

So far I have updated Functions.php

<?php
function init_js(){
if(!is_admin()){
/* jquery (google CDN) */
wp_deregister_script('jquery');
wp_register_script('jquery', 'https://ajax.googleapis.com/ajax/libs/jquery/1.6/jquery.min.js');
wp_enqueue_script('jquery');
/* jquery UI (google CDN) */
wp_deregister_script('jquery-ui-core');
wp_register_script('jquery-ui-core', 'https://ajax.googleapis.com/ajax/libs/jqueryui/1.8/jquery-ui.min.js');
wp_enqueue_script('jquery-ui-core');
/* easing */
wp_register_script('easing', get_bloginfo('template_directory') . '/js/jquery.easing.1.3.js','', '1.3', true);
wp_enqueue_script('easing');
/* mousewheel */
wp_register_script('mousewheel', get_bloginfo('template_directory') . '/js/jquery.mousewheel.min.js','', '1.0', true);
wp_enqueue_script('mousewheel');
/* custom scrollbar */
wp_register_script('mCustomScrollbar', get_bloginfo('template_directory') . '/js/jquery.mCustomScrollbar.js','', '1.0', true);
wp_enqueue_script('mCustomScrollbar');
}
}
add_action('init', 'init_js');
add_theme_support( 'menus' );
?>

and called it in header.php

<script>
    (function($){
        $(window).load(function(){
            $("#TextBottom").mCustomScrollbar();
        });
    })(jQuery);
</script>

where #TextBottom is my div where I would like to have the scroller.

Please help I stuck on this.

Thanks
Martin