Have a little question. We know that the winner get 10 tournament points and the loser only 1 ( 6 and 0 on modified), but the tournament manual does not mention how many points a player that gets the "Bye" get. Does anybody know this?

The tournament regulations mention that the player assigned a bye gets a win for that round of the tournament, so I'd assume it'd be a full 10 points as per a normal win, since it didn't go to time and required the tie-breakers to resolve.

Just remember that you do not have an OppScore for this round

Yes, full win but its bad for your SoS.