Well, her new kitten buddy will really help cut down on that. They'll wrestle and learn that if they bite, the other will bite back, and they figure out pretty quick that it HURTS. then they stop.

As for scratching get some nail clippers and trim her nails, The younger you start the easier it is. Just make sure to only take off the pointy end, or else you might cut off too much and hit the vein that is inside the nail and make her bleed.