False end of inning

Question
Here is the little league situation.  We are the home team and in the field.  Our pitcher strikes out the batter.  The umpire calls it the third out.  Both teams switch.  Our first batter is walked and is on first base.  The opposing coach complains that there were only two outs recorded during their at bat.  Our scorekeeper, the Dad of one of our players, agrees that there were only two outs.  The umpire rules that we must go back and finish the previous inning.  The opposing team then scores another run and we record the third out.  When we start the next inning the umpire also rules that our batter, who previously walked, must bat again.  I think the correct ruling should have been the third out appeal was illegal.  The half inning should not have been revisited for the third out, and our player should have stayed on first.  What do you think?

Answer
Larry,

The official scorekeeper should have alerted the umpire that there were only two outs.  I also blame the coaches and umpire for not keeping track themselves.

However, once the teams switch, the third out is assumed, and we continue play.  There is no way that we can go back to a previous inning.

I hope this has answered your question.  Should you have anymore, please don't hesitate to ask.

-Martin Hoover