Your choke and shells are just fine.
I agree with Setterman. We often get strong head winds in my neck of the woods, and I tried shooting faster. The trick is to shoot much faster. If you shoot only a little faster, you will be shooting where you think the bird ought to go, but by the time you actually pull the trigger, the wind moved it. On a really good day, I can shoot the birds really quickly.
Most of the time, I'm better off slowing down and looking to see what the wind is going to do to the bird. I usually take birds at about 25 yards. When it's windy, it's about 30 yards or a touch more. My scores are a little better that way.