1) I see nothing in the constitution that requires all court business to be done in public. The sixth grants a person the right to a public trial. As far as I know the secret court has never held trials, they have only granted warrants and other bits of due process that are not required to be public.

2) Seems to be a clear violation of the sixth amendment to me.

3) You seem to be a little to black and white to me. It is possible to think that they have done the wrong thing in some cases and need to be brought back in to line but not think that we need to completely destroy the government's ability to function.