I've never heard anyone say it should be easy
I can't imagine how annoying that much be.
I have "issues" with alcohol too, used to be at alcoholic level, then "recovered" and now have relapsed
It is hard, there is no getting around that Im afraid. But the fact that you
want to stop is a huge deal, I know for me it was more a "I should stop" rather than a "i want to stop" thing for a long long time, and thinking you should but not wanting to really doesn't help matters.
How is alcohol counselling going? Do you feel that it is helping at all? Is it individual counselling or group? I only ask as I found that group was far more effective for me and so maybe one would work better than the other for you too
I wouldn't say you were weak, battleing any addiction is hard, not to mention finding the route cause of it and addressing that which is not only hard but very time consumng.
But the sounds of things you are doing a lot of the right stuff to move past this, it will take time though (which I know can sort of suck as with every day/week/month that goes past without recovery can make you fall futher into despair and deeper into a sense of hopelessness)