Can the teacher have a talk with him and say, “We need to be quiet during nap time. If you aren’t asleep, you can choose from these quiet activities.” And then come up with a plan for what he can do during that time that is acceptable.

I am concerned that they have you pick him up early for this type of disruption. If he is seeking attention (which I feel has to be considered), your coming to pick him up may be his goal. Is there more to the story than this?

The game he plays during circle time may be the result of boredom. Is this a play-based preschool?