While your scenario is probably technically possible. I can't see how you would logically manage to get a player in 4 highlights plus a tournament. In a 2 player game you are at most playing in three matches. In a three or four player game there are at most 4 or 5 matches on the field. But for you to play in more then 3 of them that would mean the other players are doing nothing, which again technically possible just not logically so.
Me thinks you aren't playing the game correctly, you are just making some assumption based on the rules but not playing it or the people you are playing against have no clue of what's going on.
But in this case where you had 6 non-race members on your team and all in your hand at once. You would only need to commit the token to the first player you assign to a given match. Once you've claimed a side of a highlight no other players can play on that side.