Tie Breaker

So there were only 5 teams in the tournament.  All the teams played 3 round robin games except one team who only played 2 games.  We lost our first two games and the team that only played 2 games lost their games.  I asked what the tie breaker was and the guy at the scoreboard said that if we lost all 3 games, we would be out.  Our third game was a fiasco.  The umpires were just ridiculous.  The other team had the bases loaded and the ball was hit to our shortstop but the runner from second to third interfered with our shortstop and was called out for interference.  So the runner at third base was supposed to go back to third and the runner who ran from first to second would be safe at second and the batter would be safe a first.  But the umpires couldn't figure this out and wanted the runner to go back to first and the batter to go back up to bat.  After arguing about it with the umpires and the other team for about 20 minutes, we had a meeting at home plate and the umpires asked me and the other captain what we wanted to do.  We told them what the rules were and they said okay and we continued the game.  But the game had a time limit and we had lost a lot of time. The umpires said they would add 20 minutes on to the game.  We had a 5-2 lead going into the fifth inning and they scored 3 runs and tied the game.  The inning was over and they started walking out on the field to shake hands.  We all thought the next inning should continue because of the extra 20 minutes but they didn't care because they had already had 2 wins and would cinch first place with a tie.  I didn't argue with them because I thought we had made it into the playoffs because we had a tie.  We had a team meeting and I told all the guys that we would be playing tomorrow at 9 am, I just had to find out which diamond.  Then I walked over the scoreboard and saw our names in fifth place and out of the playoffs.  I freaked.  I wanted to know what happened and asked the organizers.  They said the team with only 2 games was assumed to have tied their 3rd game.  So they went to runs for and against as the tie breaker.  And we lost out because of our stupid game on Friday night.  I was furious and embarrassed because now I had to tell all of the guys that we weren't in the playoffs.