Both of you need to get your shit together before continuing in a relationship.

Love is not the only requirement of a healthy relationship. Love and abuse are not mutually exclusive.

If you have an ounce of care for her and yourself, you need to separate now and work on your respective problems. Get clean and get into therapy.

At the very least, you need to be physically separated from each other so you won't be able to hurt each other. DV is serious and you might end up permanently injuring her or getting into jail.