Alex Gor

Please read FAQ

add class name without spaces
.wpglobus-current-language

You can insert the code snippet in the functions.php file.

add_filter('wpglobus_dropdown_menu', 'filter__wpglobus_dropdown_menu', 10, 2);
function filter__wpglobus_dropdown_menu( $dropdown, $config ) {
	return false;
}

To hide the current language in the main menu you should add a CSS rule in the WPGlobus Options page, Custom Code tab

.wpglobus-current-language {
  display: none;
}

To fix the issue with language switcher you should
1. open the WPGobus Options page
2. select the “Custom Code” tab
3. add code to “Custom JS Code” option

setTimeout(function(){
    jQuery(document).on('mouseenter', '.wpglobus-current-language', function(ev){
        jQuery('.wpglobus-current-language .sub-menu').css({'visibility':'visible'});
    });
    jQuery(document).on('mouseleave', '.wpglobus-current-language', function(ev){
        jQuery('.wpglobus-current-language .sub-menu').css({'visibility':'none'});
    });
},500);

4. click “Save Changes”
5. check on the frontend

Please read docs 1, 2

You can change
WPGlobus::Config()->en_language_name[$language]
to
$language

To create a language switcher you can use the sample code from
https://github.com/WPGlobus/WPGlobus/blob/develop/language-switcher-sample.php
And place it where you want or wrap it in a shortcode.

Then maybe a screenshot to clarify your issue.