Does Ikea provide wall anchors for shelves sand book cases? Can you get them separately? Without purchasing furniture to add to an existing book case?

Yes, they do

Yes. After the incidents of dressers being pulled down, they made them easily available.

Yes they do. Although I would highly recommend going to a hardware store like Menards or home depot as the quality would be much better.

Yes I think they do

Yes

Yes they do😀

Yes, they are generally included with the hardware for putting the item you purchased together!