Hi and Welcome!
Talking to your dr was a good start and taking antidepressants could be helpful, as your dr said. However, alcohol interferes with the action of most antidepressants. You likely won't feel the positive effects of the medication until you stop drinking.
I'm glad to hear you want to stop drinking and you can do it. Stopping drinking however, is just the beginning of the journey. There is generally a lot of work to do on oneself as well. It could be possible that some counselling or therapy could be helpful in dealing with some of your past issues.
And, please remember that violence is unacceptable, ever. And, once it starts, it doesn't go away. It often gets worse. Getting sober would be a great step for you to take care of yourself and your children.
I'm glad you found us.