hi, thank you for providing the brief history of you. A thorough neuromuscular assessment is advised, Since you had a fall, post which you are having burning and tingling sensation of the hand, i feel, due to the fall on the elbow, there will be a mild injury to the nerve, where there are sensory issues happening. also, the injury dont look that big since your motor functions are normal. For fall, this are common features and recover with proper therapy. I advice you to undergo physical therapy where you will be initially treated with therapeutic ultrasound therapy and TENS therapy. Post which exercises will be implemented to improve the strength in the muscles. Focus more on strengthening the triceps muscle as to improve the elbow mobility and nerve healing. Regards Jay Indravadan Patel