1) does not carry the force of law
On what basis do you say that? I’ve spoken with several lawyers who practice in New York and they inform me that it does have the force of law.
2) is not subject to any private school that is not regulated by the government of the State of New York.
EVERY school is regulated to some degree or other by the State, religious or not. You can’t open up a school and do whatever you like. Private schools, religious or not, are subject to all sorts of regulations.
The Wolf