I haven't ever run or played in a "Tag Team" tournament, so I admittedly don't know much about it.
Nowhere to specify a team name in the database
There has been a request I'm hoping to get to that would allow for color-coding players. This could help identify teams I suppose.
I had to manually check if teammates were seated at the same table (initially)
I don't know if there's much you'll be able to do about this, as the TD will only move randomly (with a few biases). I suppose if the color-coding of players extended to the Tables tab, you could at least see whether or not two players of the same color were at the same table.
I had to manually bust half (well close to it) of the players between the 4th and 5th level. This took a bit of time and I had all my players standing by for me to assign them a new seat (not stressing at all).
What would you suggest?