A few things to think about if you decide to start Bullseye.
Practice before your first match. Make sure you are at least on the paper. Everyone is patient with newcomers but if you are crossfiring onto someone else's target, you aren't going to make any new friends. If you are shooting high and hitting the target hanger, that is very distracting to the other shooters and frowned upon in general.
Take your time in slow fire. Ten minutes is a long time to fire 10 rounds. Resist the urge to shoot quickly. Don't feel that just because you picked up the gun from the bench you have to fire. If the shot isn't there, put the gun down, take a few deep breaths and continue. Sometimes I may pick up my gun two or three times before I take a shot. Try to get a feel for the cadence of the timed and rapid sections. The 20 seconds you have in timed fire is actually a pretty long time, so don't go crazy trying to squeeze off 5 rounds as fast as you can. Rapid fire is fairly quick, that is when you want to be able to shoot every second and a half.
The simplest advice I ever got was this: Don't take the shot if its not a 10. That sounds simplistic, but once you concentrate and think about it, a lot of times you'll find yourself shooting "hoping" it hits the 10 ring. Don't squeeze until you know its a 10.