woocommerce random cart items populating

Hey There,

So my client is having issues with customers getting random products displaying in there carts and/or items won’t delete in their carts.

I can not duplicate the issue and figure it has something to do with cache. Though there is no cacheing plugins installed, no nginx and the dummy site has a different database. my server admin told me that rules are in place to not cache /wp-admin* /cart /my-account etc Especially caching is supposed to be disable on logged in sessions

So I am kind of in a stump on what the problem could be.

The page I need help with: [log in to see the link]