I apologize for the delayed reply. I was looking into the issue yesterday and trying to find out what exactly had happened.

At the moment, if absolutely all stats are identical at the end of the season, it is determined randomly who won. This is probably what has happened on your end. We realize however that this isn't a fair solution, so we'll be making changes to it so there isn't such a random factor in play. I am sorry that this has cost you your League position.