What about writing down what's going on before the appointment, and also talking to H about it to make some notes about what he has noticed? I often forget half of what I meant to say when I see my pdoc or therapist, and realize I sometimes base my answers on my mood for the day. Not that I am dishonest, I just feel like my life is okay or not okay depending on the day.

I do not think you have to be at the level of going through withdrawals for AA, in fact, I think it is proactive to go earlier. If you are using alcohol in an unhealthy way, which it sounds like you are since people are concerned, then it could be a good idea to get help. I also am not religious, so I do get wondering if that part will click for you.