Here is a more detailed explanation of what a league [director] would do. It's not really that hard or time consuming.
1) A league [director] would fill out his league with teams/players(2, 4, or 8). So they would be in charge of recruiting players for there leagues when they are first formed, plus if any of their players drop out of the tournaments. Keep in mind that having a strong league will help the rankings of everyone else on that league. Meaning that even if you're always getting your butt kicked, if your league is cleaning house against every other league, you may be ranked higher than Chuck Norris if he's kickin' tail on a weak league.
2) A league [director] would keep his league on schedule. Basically just making sure the players are starting their games and getting me the results on time. Again, not too challenging, but if I was "league leader" of like 50 of them, that would get complicated.
3) A league [director] sets the initial rules for his league. This isn't set in stone yet. Options may include allowing teams as players, allowing upgrades,... etc.
4) A league [director] is in charge of inter-league negotiations. Like if you want to trade players with another league to get a more balanced league.
I think that's it. Not too hard - the main thing is making sure your league has 2, 4, or 8 players, and then getting me game results. Changes in leagues (like new players joining, or swapping players) just need the approval of the involved (league [director]s that are involved/ players that are involved).