I have shoulder and chest pain after a fall. Could it be muscle pain? Or a break? - there is no brushing but agony to inhale, cough etc...

Could be a fracture. Suzy, the answer won't be clear without an x-ray. Your symptoms are consistent with both a bruise and possibly a rib fracture. Pain can be quite severe with a cough or deep inspiration if it is a fracture as the ribs will move considerably with deep breaths. Your risk of fracture depends on your age, sex and height of the fall. Let pain be your guide for seeking doctor evaluation and work up.
Most likely rib. Fracture, go to see your doctor and ask if he could have x-ray for yuor ribs? Good luck. Thank you.