Ok - the hair on the back of my neck is standing up. You have a DUI conviction, he is toting bags of bottles to a job site and has a locked fridge?

It sounds like both of you need to be in counseling for alcohol abuse and all of the issues that it has brought into your life. My concern isn't him bringing up your drinking or vice versa. My concern is either one of you taking full custody of a child without facing that alcohol is a major part of your life and by extension your childs.