No, Crossman did not kick the FG. That was done by the players.
Crossman is responsible for teaching his players the rules, so as not to get ridiculous penalties, such as pre-kick alignment. Yes, that is on him. Either Poyer is dumber than a box of rocks who should never be on a field were he so dumb, or he's confused which is on the coach.
Bowles, BOWLES was laughing after the penalty. Maybe he wasn't thinking "how do you have illegal formation on a kickoff?", but I really think he was.