Hello There,
Thanks for writing in!
1) Add search icon:
Please add the following jQuery script in your Customizer via Appearance > Customize > Custom > Edit Global Javascript:
(function($) {
$('.x-nav-wrap.mobile .x-menu-item-search').insertAfter('.x-btn-navbar');
})(jQuery);
Then add the following code in your Customizer via Appearance > Customize > Custom > Edit Global CSS:
a.x-btn-navbar-search {
float: right !important;
margin: 14px !important;
color: #fff !important;
}
2) Unfortunately, it’s not currently possible. The integration should be within Woocommerce standard and API, you may want to contact a woocommerce developer. However if you would like to try out, please refer following tutorial:
https://isabelcastillo.com/woocommerce-cart-icon-count-theme-header
Thanks.