I am not an AA member but an Alanon member. I know in the steps of AA/alanon, it is about making amends to the people we hurt. I know that putting it on paper, acknowledging what you did and apologizing for it owns what you did and that you are sorry. You don't have to discuss it with your husband.
From an alanon perspective, we remember everything, as we lived it also. To have the A in our life recognizing the "harm" they did, is truly powerful to us. It deepens our feelings that you are owning what you have done in your life and trying to repair it. Hugs my friend, as we alanons are very good at forgiving.