Answer:
I hide but my head is outside.
Weight in my belly, Trees on my back, I travel fast in my place, but feet is a feature I lack
Who is he that runs without a leg. And his house on his back?
When the horse strokes the cat, the wood begins to sing.
What is given but kept by the giver?
They are many and one, they wave and they drum, Used to cover a state, they go with you everywhere.