In the meeting they said that said low level disruption was observed in 3 out of 36 classes. They did not acknowledge cultural problems explicitly but one of the governing body's jobs over the summer is to get in some outside help and to think about ways of increasing the diversity of the governing body, this does allude to potential cultural changes maybe.
They also said that Ofsted had done an inspection of their boarding in March and given them 'Good, with outstanding features', then not published it and come back in May and given it inadequate. This is boarding only obviously but seems odd.
Re support for the Head, I'm not entirely sure but would hazard a guess that more parents are supportive than not. Quite a lot of people haven't actually read the report in full, this might have something to do with it!