It seems to me that the first week she was on her best behavior. Now, she is relaxing and settling in and testing the rules. Your post didn't mention her age. Her behavior does seem to be like an adolscent dog about 8 - 12 months. To stop the chewing, I would dog proof the house - don't leave any sandals or anything that is chewable out where she can get it. I would also tether her to me with her leash so I can redirect the behavior with a toy and where I goes, she goes. If I am sitting at the computer, she is on the down/stay with a chew toy by my side and so on. If I can't watch her, I would put her in her crate. I would also play scent games with her - hide a treat and she finds it.
Sting Chance von Gaard AKC GSD 2/8/2006