Hello,

1. You configure the page category in the Shop page: navigate to the Theme Settings > Shop

You need to go to Appearance > Widgets > add filters and widgets into Shop page widget area.

2. Navigate to the Product page and find “After add to cart button area” insert there buttons or create HTML block with buttons and insert the shortcode of an HTML http://prntscr.com/luu0qh

3. Enter each category and find the fields for icons http://prntscr.com/luu1ce

4. Yes you can find them in https://www.flaticon.com/

5. In order to make a hidden sidebar, navigate to the Theme Settings > Shop > SIDEBAR & PAGE TITLE and find option Off canvas sidebar http://prntscr.com/luu2n3

Best Regards