Well I remember when I was a teenager which was not that long ago I am 24. Anyway I remember thinking I knew everything. I mean everything and my parents were stupid and knew nothing. Sometimes I still think that way! I want to say I am kidding but I can't.
Anyway this is what My mom did to me gave me the silent treatment that was the worst please if you love her don't do that. I will give you this advice: If you want her to keep her room clean give her a choice of punishments if she doesn't follow your orders. Or Tell her if her room is not clean by the end of the day her bed has to come out of her room until she can clean it. She may learn fast not being able to have her bed. My Mom did this to me and it worked!
As for the house: same thing if she can't keep her bathroom clean take it away. Tell her that she can't use it until she take responsibility for it. Same with dishes she doesn't want to clean them or help with it...then she can't use them. Trust me it worked for me!
As for her attitude it will go on like it will never end but at 16 it should get better like mine did I acted up everynow and then but it was much better. I now love my Mom! When I gave birth to my 1st baby I told my mom I was sorry for everything I ever did. She laughed and she said now you know what love is!
Brooke WI