Wrong. We have a written constitution, it's just not codified, i.e. in one document.
Wrong. See: The Human Rights Act 1998 Article 10 Freedom of Expression.
What you mean to refer to is the European Convention on Human Rights, which we incorporated into national law as the HRA (see above.) There is no "small print" in a statute, like every other nation in the world the UK restricts total freedom of speech with necessary laws against defamation, obscenity, incitement of racial hatred, laws to protect official secrets, etc. Ministers don't get to overrule anything, in legal cases involving matters of freedom of speech the decision lies with the judiciary.
