Team Trio Sealed questions
If it's competitive, you'll need deck reg and swap. That will mean 4 decklists per team (a master list for registering all the boosters, and a list for player A, B, and C for registering decks (and sideboards!)). If it's regular, no deck reg or swap is needed.
For the draft, you sit the 6 people around the table, alternating teams. So it's ABABAB. Each person is drafting and building their own deck. No sharing of cards between players. They can communicate only during deck build. Not during the draft itself. If it's competitive, then you'll need another list for each player.