Not a critical error with the game, but anyway...

Sometimes the 1st star goes onto players that are not actually leading. I think it is calculated clockwise around the board from bottom left, and if the bottom left player has 6 areas, but only 6 dice, they would still be ranked higher that a player further round clockwise with 6 areas and 20 dice.

The reason this is a problem, I find is that people tend to attack 1st place players more as they are a bigger threat.

Another idea, is that this star should take into account the number of connected territories.