Do they have motorized carts at the stores?

Yes, I have seen one there parked inside the store. When you go through the doors look to your left. There is a bench just inside the doors and usually the motorized cart is parked right there.

Yes they kept it by the bench

Yes, I have seen one.

Just 1 but I've never seen it occupied

Yes. Inside.

I've never seen one, but I'm not sure

I think so