[Snive]

Okay, let me see. Having missed 2nd base on the return to first, he is at liability to be put out on appeal. Since you cannot retouch any base for the purposes of missing a base while the ball is dead, I would grant the appeal, even if the runner touched 2nd on his way to third for the two-base award.

Essentially, he's out on appeal because he missed 2nd trying to tag up at first. He cannot retouch after the ball is dead.

AS for the second play (as posted by LDUB) I would also call this runner out on appeal. If he already touched first base, he's considered to be tagging up, if he then returns to second (although, I can't see this happening in the real world...too much time passing by) he is now advancing to the next base. Since he missed 2nd on his attempt to tag up at 1st, and then touched first, I think this removes his ability to retouch 2nd base. Think about it, if he passes 2nd without touching, then touches first, realizes he missed 2nd and returns to second, he basically just tagged up at first and ran to second. A play very similar to this was executed in last years Ontario Senior Elimination Tournament in Canada. The Supervisor of Umpires for Baseball Canada was the base umpire and ruled the runner out. I tend to believe that he's right on this one.