Hide product names on Store

Site URL: https://oarfish-aardvark-ycpl.squarespace.com/

I have a few questions, I hope it's not poor form to combine questions! Please let me know if anyone can help.

1. I need to hide the product name from the Store page. My client wants to only display thumbnails of each product by default.

2. I'd also like the spacing below the products to be even with the spacing between products.

3. On mobile I'd like to display 2x columns instead of 1x.