Yes, go to the soonest one.
And, just listen to your heart. If you don't want to talk to anyone, you don't have to. Go at your own pace. If they call on you, and you don't want to talk say, "Thanks, I'm just going to listen today." It gets easier. The alcohol has you in this place of fear. It gets better.
There is a guy that goes to my meetings here who never talks. No one is judging him. He's a really great guy, just quiet.
I've spent time with him outside meetings and he's very engaging.