Team Leaders - In the Lobby game, you will get into a team. Within that team, you decide who will be the team leader. Then, you will decide who the supporter will be and who the attacker will be. This will be important for the games. Because once I know who is what, I will start creating games for this tournament (not an actual tournament, but various different games and brackets will be used - created by me).
The games' template is below:https://www.warzone.com/MultiPlayer?TemplateID=1455469
Also, no to your second question, but I feel like the above gives reason to that - within each team, there will be a team leader.
To answer your final questions -
The rules are for the single games. The single games are what make up this tournament. I am the one who will make those games that way I can monitor the points. The goal for this tournament is to end up with the most points. You as an individual want to end up with the most amount of points. The team with the largest amount of points will be noted as The Champion Team, but there can only be one true winner of The Zodiac Games.
I hope that helps. Again, all of this is still very much in its testing phase, so apologies for any road bumps.