This is a late reply; I hope things have gotten better
by now.
If the no contact extends to your household, it sounds
like he's in violation of it, depending on the
provisions of the no contact order (what kind of
physical distance must he keep, etc.)
I'm not a lawyer, but I don't see any legal reason he
would be allowed in the school, near your children,
while in violation of the no contact. Just because his
kids are in the same school, it doesn't mean he has a
legal right to be there.