Hello,
1-4. Please add this code in Custom css:
.filter-content .woocommerce-product-search button {
font-size: .85rem !important;
width: auto;
color: #fff;
padding: 0 7px;
border-color: #e1e1e1 !important;
border-left: none;
position: static;
}
.filter-content .woocommerce-product-search button:before {
display: none !important;
}
.filter-content .woocommerce-product-search input[type=search] {
padding-right: 1.07em;
border-right: none;
}
.filter-content .woocommerce-product-search {
display: flex;
}
.product-information table.variations td.label, .product-info-wrapper table.variations td.label, .product-summary-center table.variations td.label,
.product-information table.variations td.value, .product-info-wrapper table.variations td.value, .product-summary-center table.variations td.value {
vertical-align: middle;
}
.variations_form tr:last-child .st-swatch-preview {
margin-bottom: 0;
}
.variations_form tr:last-child .st-swatch-preview {
margin: 0;
}
.product-content .yith-wcwl-add-to-wishlist {
position: absolute;
bottom: 22px;
right: 15px;
transform: translateY(-100%);
margin: 0;
}
.product-content .yith-wcwl-add-to-wishlist a {
font-size: 0;
}
.product-content .yith-wcwl-add-to-wishlist a:before {
font-size: 1.14rem;
margin: 0;
}
.product-content .yith-wcwl-add-to-wishlist .yith-wcwl-wishlistaddedbrowse a:before,
.product-content .yith-wcwl-add-to-wishlist .yith-wcwl-wishlistexistsbrowse a:before {
content: "\e92d";
}
.product-content .yith-wcwl-add-to-wishlist .loader-circular {left: -7px;}
2. There is no such possibility, unfortunately. You can submit a request here – https://www.8theme.com/topic/suggestions-and-proposals-2/
3. Appearance > Widgets > Shop sidebar > Product categories > unselect Show product counts.
Regards