DRAFT MATCHMAKING and NOT being able to VIEW your CHAMPION POOL
Upon entering team select the only times you are able to view your champion pools are at the very beginning and during your turn to select a champion.
This will not matter much for the first or second pick but the players last in line are at a disadvantage, especially if they want to continue sifting through champion pool. I do not believe this would be against the rules to always allow all players to have access to a list of their owned/available champions at all times during team select after bans are made.