Just to clear things up for how the finals work. It will be one bo5* that starts 1-0 in favor of the team from the winner's bracket. The team from the winner's bracket will have to win 2 games total to win the tournament, the team from the loser's bracket will have to win 3 games total to win the tournament. The initial free win for the team from the winner's bracket won't count towards the draw rule, but otherwise they will function as stated in the OP with the addition that if the series is 1-2 and there have been 2 draws in a row the last team to win a game will win. If the first two games of the match are draws the first team to win a game will win the series. If there are 5 draws in the match the higher seeded team will win the series.
*bo5 is defined as "best 3 out of 5"