I was one month after my 27th birthday when I got sober. I started getting drunk just as young and started getting drunk daily just before I turned 16 never stopping until I quit on the date listed below except for a day or two here or there. (No, that's a lie. I quit for 3 months doing a South Beach diet to lose weight).
Anyways - you sound like you're being honest with yourself. I don't know what your frame of mind was when you went into meetings last time. But as long as you keep that honesty up and you go into those meetings with an open heart and willing to do anything for your life....getting sober and living sober isn't easy...but it's a hell of a lot easier than being drunk and killing yourself. It's a lot more rewarding too, I promise you that.
Lots of positive thoughts to you from over here and I really hope you get some help from your GP. If you don't....find another. I agree with Carol though....I would look into a medical detox with that amount of alcohol and the pills.
*hugs*