The chewing is going to be a hard one to overcome. At 10 weeks she's getting ready to teething or already is. Watch for bloody gums and lost baby teeth. When mine were teething we would constantly redirect their attention when they were chewing something "bad". Baby carrots and small biscuits helped. You can also by a spray that tastes terrible to help deter.
I personally never crate trained and I really wished I would have. I have two dogs wandering around all night and sleeping in our bed. If I try to put them in their room now, they carry on like we're killing them.