You need to consider, there are many posts regarding the issue of two player games where when you finish first you cannot go until the other player starts, that player then wait until the last second (which the 5 min counter is going against the player who finished first) then the player who finished first tries to go an runs out of time and looses all of his armies before you can deploy them.
Suggest that in a 2 player game that you grant 5 min to the player who finisted first after the last player starts.
check player jpsboard name as an example.