2) And for the add to cart remove please provide with relevant screenshot of the specific area you want to remove with the URL of the Page to check it myself and help you out accordingly.
I have visited the URL you provided. It seems that you added the cart widget inside the shop filters area under Appearance >> Widgets >> Shop Filters. Please remove the widget.
I saw the screenshot you attached and visited your website. Please add the following Custom CSS in the Global Custom CSS area under Theme Settings >> Custom CSS.