My does seem to pull fur according to the weather. When it's warm, they pull less than they do during cooler weather, so you can't really go by that.
Does typically feed their babies at dawn and dusk. They jump into the box, and stand over the babies. It is up to the kits to crawl under her and latch on. After a few minutes, she leaves. If a kit has nursed, the belly will look fuller, with a noticeable white blob right behind the rib cage. A first-time doe may not have much milk for the first couple of days, but one that has nursed before usually has plenty from the get-go. A doe with a good milk supply will have babies with very round, full tummies. If the tummies look slack, you have a problem, either because she isn't feeding them or because she has no milk (I have had this happen a couple of times).