That sounds like a very frustrating problem
how long did you leave Jett in the new cage before the bar chewing became too much for you? If it was less than two weeks, I'd recommend putting her into it again and waiting about a month so she can get used to the cage. Bar chewing is sometimes done in response to a new environment so she may just need more time to settle in before she settles down. Move her to a different room where she won't bother you at night so that she can get used to it and more importantly, so you can get some sleep! To combat the bar chewing, using wooden bag/laundry clips attached to the bars can help. This will encourage chewing the clips rather than the bars (I'll link an example below). As for the issue with excercise, you could buy or create a playpen for your wild little Jett. Hoppinghammy has an excellent tutorial on her channel which teaches you how to make a very cheap and secure playpen! There's also a thread on here that shows how to create another style playpen if you wanted to refer to that instead. If you don't have the time for a playpen, a bathtub with boxes and toys in it can work just as well at containing her. I think it's important for all hams, but especially high energy ones like her, to get at least 15 minutes of exercise on a daily basis. More exercise will help drain her energy and hopefully make her a bit more manageable! I hope things start heading in a better direction and you can mend your bond with little Jett.
The link to the playpen
https://m.youtube.com/watch?v=owtibCd-ygA
Wooden bag clips
US
https://www.amazon.com/gp/aw/d/B00XN...ShL&ref=plSrch
UK
https://www.amazon.co.uk/gp/aw/d/B01...CQL&ref=plSrch