What I'm saying is that I believe the cop was within his rights to issue a citation. If that is true, then he did nothing wrong. He has discretion. If you're going to argue with the person who has a choice in whether or not to punish you then you should expect to be on the losing end.
It's no different than getting pulled over for speeding. Assuming that you were in fact speeding, the officer is allowed to issue a citation, or not. It's up to him. If you're a jerk then you're going to get one. "Tyrrany"? C'mon.
Cops don't have "rights" to issue citations. They have power to issue citation as an aspect of their job, and an obligation to use that power within its legal bounds, which include, in the case of issuing citations, generally that there be probable cause to believe that the person has violated the law identified on the citation.
Not if he didn't even try to discern whether it was being used for navigation. You ask whether the citation was unwarranted, but I think that betrays an authoritarian attitude. Was the citation warranted? The judge says no.
Regardless, it sounds like she was argumentative. That's fine, but accept the consequences. Like I said, he is free to cite her, and I don't necessarily blame him for doing so given what I've read.