(Ongoing response to Jacques) 
"Fact": Mum admits her (daughter) hit his, but states clearly (even in the video) that it was in self defense after his hit hers.
"Fact": whether or not there were cameras in the play area is immaterial. There was never any justification for his behaviour.
"Fact": The man has a history if intimate partner violence, which makes the actual FACTS visible on CCTV that much more believable.

Notice I put personal anecdotes in quotations. That's because that's all they are. Eyewitness accounts *are* notoriously unreliable. Anyone who's played a game of Chinese Whispers, listened to gossip or stood in court, can tell you that.

The only thing you can't dispute is what your eyes see, and tge closest we have to that is the CCTV footage.