Sorry for your issues. As far as back pain, pinched nerve, tightness, I have dealt with these in the past, actually since I was 20, including surgery, but not for compression fractures, but herniated discs, others, and would be hesitant to recommend how I was treated or did as being the same in your case. I did have PT as one type therapy, chiropractor, and after a relapse, acupuncture, which for me, at the time, was the best for pain. Maybe it would help to have a proper diagnosis for treatment. To my understanding, compression fractures could be related to osteoporosis or other conditions.
After my treatments, and significant bed rest or confinement, my back issues, shoulder, acted up. The more I was able to move around helped, including pain meds, heating pad, topical ointments, PT, whatever worked I guess, but am cautious in what I do after several surgeries to my neck, and doubt I would see a chiropractor again for any neck manipulation.