Answer 1: He sleeps, but he's still "scarred" from being the Ichibi Jinchuriki, like the eyes, paleness and such. As shown with Gaara's ability to control sand a Jinchuriki never losses what traits giving from the Bijuu.
Answer 2: It's possible, but we have yet to see if Hashirama's cells played a part in the Madara getting the Rinnegan. But as it stands, it's possible.

