As for ANY appeals in SP on an OTF HR, don't even honor them. Just tell the defense it's an appeal that cannot be made because the rules don't allow for it. If they bicker, it had better be the captain or manager who's discussing this with you or you should have a problem with the team becoming spokespeople.

As for the other scenario, if the batter decides to "taunt" the defense by going towards 3B like you described, you can't call him out because he already hit the HR. The ball's dead. Your only option at this time is USC and sending the jerk to the parking lot, in other words, ejection.