You can put them somewhere where it's warm; like a shed or in your house. If you have it outside you can put straw in it's cage; and give it a little box with a hole in it so it stays warm. See related question below for details and links.
yes.
They have layers of fat, feathers or fur to keep themselves warm. Unlike us, animals have fur so they can keep warm. Take a rabbit for instants, they live in a burrow so they have a warm home.
You just bundle them up in a small blanket or maybe get them some baby clothes to wear so they will be warm.
Make sure your rabbit stays warm, has lots of exercise and eats healthy. Don't keep it locked away inside, make sure he/she has a chance to go outside and exercise. At night I would suggest you keep your rabbit somewhere warm, not outside.
If its a pet rabbit they are showing they want to lie down together. If its a wild rabbit, then its trying to stay very still so the other rabbits won't notice it.
Keep yourself warm by Frightened Rabbit
Feed it its mother's warm milk, cover its body except for its head with a thin old cloth, and don't expose it to the winter, and keep it in a warm room-but leave the door open for ventilation.
it is not actually eating it's fur it is just making a nest for it's babies or sometimes it makes the nest for itself to keep it warm trust me i have a rabbit
You would normally bottle feed a baby rabbit with luke warm goats milk and make sure to keep the baby rabbit warm with a hot water bottle under a blanket.
It is to continue to line her nest for her kits.
Rabbit fur
usually they stay in their bedding box. they will keep warm in there.