Does Apple TV+ remember where you paused, or let you store favorites?

Entering TV+ in your browser, you get a long list of unsorted items you can watch. Nowhere you can store which ones you want to save for future watching. No filter or search on title, genre. No option to mark titles for future watching. Am I missing something or is this most basic functionality really missing?

Once you have started watching a show, it does not remember that you watched it or where you stopped. Incredibly annoying while watching series. You have to scroll down the entire list, search for the program you were watching, and remember which episode you watched last. Am I missing something or is this even more basic functionality really missing?

My subscription is up for renewal, and there's no way I am going to continue using this service if these basic features are not added.