What Am I Riddles

Question: I am a small room,
but no life lives inside,
no matter what weather looms,
very cold my residents reside.
What am I?

Question: What runs around the house but doesn't move?

Question: The more you work, the more I'll eat.You keep me full, I'll keep you neat. What am I?

Question: Of the king I am blue and of the peasant I am red.Of the frog I am cold and of the dog I am hot instead.What am I?

Question: Rarely touched but often held If you have wit, you'll use me well What am I?