Hey NovaBlaze, welcome to the Org forums.

I'll have to agree with Jacque about the AI movement cheat - there has to be a logical explanation. Could it have been a loyalist rebellion? You should have gotten a pop-up parchment if that was the case though.

As for the AI income cheating, it has been quite a while since this question has come up and I can't clearly recall the answer. I know Shogun Total War had blatant income cheating that had players screaming bloody murder. After that, I think CA either eliminated or toned down that cheat. What difficulty level are you playing? That may help determining the answer.