Like I said, volunteer for everything.
You don't get leadership positions by standing in the back with your thumb in your battle buddies' ass.
Be the road guard, be the demonstrator for the bayonet course, be the first one in the chamber. When they make you a Squad leader or PG, you'll know why.
And don't mention airsoft or the fact you have family currently serving.
The reason you got those sh*tty jobs at drill is because you are the FNG that hasn't been to BCT yet and isn't MOS Q'ed. Throughout IET (BCT and AIT), everyone is equal to begin with. What separates everyone later is each persons individual performance and role as a team player.
Again, you'll do great!