You pick one team a week to win their game. If you're right you move onto the next week and pick another team to win. You can only pick a team to win a game once. So if you pick the Patriots to win the first week, you can't pick them again the rest of the season. If the team you pick loses, then you're out of the pool.
Z has ran them the past few years. I'm not sure if he still wants to run it; if he doesn't I'll gladly do it.