For both, yes, parents have the freedom to raise their children within the limits set forth by the law including the Charter of Rights and Freedoms.

So parents can (try to) prevent their children from accessing pornography, but that doesn't mean parents have carte blanche to violate their human rights under the Charter. Parents can't legally beat or sexually abuse their children, either.

There have always been limits to parental authority when they violate children's human rights.

The OP is wrong.

Parents have a "duty of care". That means they can enforce rules which are for the wellbeing of their children, even apply punishment - without having to take the issue to Court.

Schools have a "duty of care". That means that for an incident which in the public which would involve the Court system - such as assault - punishment can be executed by the school wihout a Court order.