Hi Ali
On the search issue, my initial analyses would suggest that this may be an issue with Joomla. The template does not include an override for the search module so the core view is been used. The source for the image input is coming up empty. To confirm try enabling the default Joomla template (Cassiopeia) and see if the is also present.
I have added the following CSS to the Custom CSS field of your template style settings to improve the style of the search field when placed in a showcase module position. Feel free to remove/edit if not to your taste
.showcase-1 .search {margin: 5px;}
.showcase-1 .form-inline {display: flex;}
.showcase-1 .search-query {
margin-left: -2px;
border: 0;
border-radius: 0 3px 3px 0;
padding: 3px 5px;
}
Ciaran