How do i recover from a back joint injury fast... joint of the back bone and right pelvis?

Joint Injury: If referring to the back injury as a joint injury; the spine of the back has many joints because of vertebra that are involved in movement. You mentioned a pelvic injury; it is not clear that the pelvis was fractured or there was injury to the joints. Given the information provided, I advise initially a NSAID for pain relief. At some point you should begin physical therapy to get and keep moving