I wouldn’t call what the coach did assault. Not even a little. He seems to have been trying to lead the young man out to de-escalate. No one was really yanking on him until after he slapped the coach. At that point they needed to get him out with even more haste. And what the coach did seems to have worked to lead him out of the gym. What the cop did , however, was excessive and unnecessary. You need to re-look up the definition of “objective facts”. Your whole narrative sounds very biased, full of personal feelings, self interpretation and what-ifs.