Try to add the following code snippet to the Custom CSS area in Theme Settings to fix the search issue

.woodmart-widget.woodmart-ajax-search .search-by-category {
	display: none;
}

.woodmart-widget.woodmart-ajax-search .has-categories-dropdown input[type=text] {
	padding-right: 50px!important;
}

As for the slider, could you please try to disable all extra plugins that are not related to our theme so we can check what is wrong?