Hi Sweetichick,
I am glad you decided to dump out the wine, it will definitely only complicate matters.
Your kids are still young, and you still have lots of time to build a stronger relationship with them, and it will be much easier to do that sober.
Did you get to an AA meeting? That would be a good place to meet new people, and much healthier than the relationship with your neighbor, it might be time to cut the ties there, it doesn't seem to help you to feel any better.
Check in and let us know how you are doing.