The F.B.I. convince a judge that it had probable cause that a crime had been committed, page-38

No, he might have.
I'm going to argue that YOU DON'T KNOW, because you don't. Neither do I.

And even if he has some documents that he shouldn't, is it a criminal act that can be proven in a court of law?

That's the only thing that matters, and it hasn't happened yet.

The rest of your post is just noise, until facts are known.