Maybe try putting her on a demerit system. Write up two lists -- one of tasks / chores she can do to gain points, and one of bad behaviour which causes her to lose points. Maybe use a jar of marbles to keep track of the points, or something.
Start her off at say 10 points. If she gets up to say 30 points, she gets a reward of some kind (eg. pizza & movie, or allowed a sleepover, or whatever). If she drops to below 0 points, something gets taken away (laptop, bike, bedtime gets earlier, whatever) until she earns it back.
I don't know, I'm not a parent, but just an idea. Sounds like she's testing you, and seeing what she can get away with (it sounds like quite a bit). She needs to know you're boss.