Submenu adding dropdown/hover login/logout widget/buttons

Hello everyone,

I was trying to create a login and logout for the topnav menu (secondary menu). I have currently written the following:

add_filter( 'wp_nav_menu_items', 'my_custom_menu_item', 10, 2 );
function my_custom_menu_item ( $items, $args )
{   
    if(is_user_logged_in()){
    	if (is_object($args) && $args->theme_location == 'avia2'){
    		$items .= '<li class="menu-item custom-menu-item"><a href="<?php echo wp_logout_url( home_url() ); ?>" rel="nofollow" title="Logout">Logout</a></li>';
    	}
        return $items;
    }else{
        if (is_object($args) && $args->theme_location == 'avia2'){
            $items .= '<li class="menu-item custom-menu-item"><a href="" rel="nofollow">Login</a><ul class="sub-menu"><li class="menu-item menu-item-type-post_type menu-item-object-page">'.do_shortcode("[av_sidebar widget_area='My ICS Login Menu']").'</li></ul></li>';
        }   
    }
    return $items;
}

Login shows when not logged in correct and it makes the dropdown menu = Check.
But … Logout when clicked it doesn’t redirect to home page it just go to the 404 page instead. I can’t see what my mistake should be. I even tried with direct url after.

Logout:

• 1. Click on “Logout”.
• 2. Once clicked it should logout the member.
• 3. Once logged out it should also redirect to the homepage, or http://www.domain.com/home/
• 4. If possible it should redirect to that current language also (got English and German languages running with WPML plugin

I’m not too greedy I hope.

Looking forward to your reply.