Noting someone's complaint isn't the same thing as admitting the complaint is correct.Winner, @Steven P Bastien. It's good old Professor Crater.
You got it right for the clues. For the 3rd Clue, Crater told Kirk was trespassing on his planet:
CRATER: Captain, considering the inescapable fact that you are a trespasser on my planetEven Kirk seems to admit that he is guilty of trespassing, and acknowledging that the planet is somehow Crater's property. Maybe he is only leasing it or part of some sort of grant arrangement.
KIRK: Your complaint is noted, sir.