Hey there! Sorry for all that you are going through. I would fire the PT in a heartbeat. If you do indeed have CRPS and are going through physical therapy, then that therapist needs to be knowledgeable otherwise they can do more harm than good. PT's definitely like to use cold therapy/ice, but if they knew what RSD/CRPS was they would never recommend it as it is dangerous for this condition!!
I hate when offices send bills, demand you owe and then they can't back it up...that is pure BS. If they can produce a bill, then they can pull up your account history, just don't give up...be persistent with them.
Wishing you the best of luck!
Nanc