Sorry, but what is a "bottle warmer"? You can rent/request a microwave for your room at the Beach Club. Also, I think most of the gift shops sell hand sanitizer (Purell).
I don't think Disney keeps these in stock for guest use. If you really need those items, I would suggest you either pack them in your luggage or arraign for a box to be delivered to the Beach Club before your arrival. Or, you could just send a box of brand new bottles and then you wouldn't need the sanitizer at least.
I seriously doubt it for both. We don't use either at home, so I haven't asked. Maybe you should check with one of the rental companies, like a baby's best friend? I don't think either item is all that commonly used that the hotels would have them (and I have a 2 year old and 3 week old that were/are exclusively bottle fed).
Just use the liners for bottles and stick a cool/cold bottle into some warm water to warm it up. If you use a microwave, you might get hot spots and burn the baby's mouth.