If you set your SHOP page to be the shop base page for WooCommerce, that is normal since WooCommerce takes full control of the layout. This setting is found under WooCommerce > Settings > Products > Display > Shop Page.
That is normal if you have an empty cart. That is how WooCommerce works.
That would totally depend on the theme you're using. Some theme offers a left hand sidebar, some don't. I'd suggest checking with your theme docs to find out. :)