Did I mess up my arm?

two days ago, i slipped in my garage and fell on my back hitting my tailbone and elbow. this caused excruciating pain down my back and arm but not like i’ve broken a bone bad? anyway ik i didn’t break my tailbone most likely just bruised it (i’ve broken it before and this pain isn’t as bad) but my butt and back are still in pain. anyway after an hour the pain in my elbow went away and i went to sleep. yesterday morning i woke up to a very sore arm. every time i moved it i got pain going up my arm to my shoulder. so now if i don’t move my arm for a bit my shoulder, elbow, and wrist hurt. what did i do to my arm?
Did I mess up my arm?
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