Cached page are served to logged-in users

Hello,

I am new to LiteSpeed, the configuration went perfect, everything (almost) works fantastic. We do have a WooCommerce B2B (members only) website. All pages are public but to see prices, add to cart etc.. you need to login first.

I am facing two issues:

Issue 1) After customers do login, cached pages are still served to them. They can’t see prices and add products to the cart as they still see the website as non-logged in users.

Issue 2) As members-only WooCommerce website, we do not want to purge at all any cache of categories/products when stock status or quantity changes, but unfortunately there’s no such option. Every time we get an order, categories/products are getting purged.

For reference, this are the only options: https://i.ibb.co/0Kp73RH/2343.png

Any help would be appreciated, thank you in advance!
Walter.