On (2) and (3), neither of these are true in reality, and most don't think they should be true either.
Even if you are an extremely principled libertarian, I am sure that you don't think that every single thing a "private" entity does is inherently good. We, the "private" citizens, certainly can (and should) criticize their actions.
On (4), as I said in my comment, I very much disagree with the prudish/ideological banning of the book from school libraries, so I guess we agree on that?