Here is the thing, the back wheel is bent and I broke off the rear derailler.
I'm no mechanic. But it sounds like you just need to replace the back wheel and derailer.... with some hassle to get it done.

But... if you want to avoid the hassle and have a GOOD EXCUSE for getting a shiny new bike... then go get one!

I know at my LBS... they said Trek has a "1 year no interest" type of credit card. If you think you can pay off the bike before that year is up... that might be an option if you don't have the cash outright.