I am reading this and I was hoping you would be able to provide a little more information.

How old are you, how old is he, how long have you been dating? How long were you dating before you moved in?

How far away from your friends and family did you move? If it's not too personal, why did you decide to move away from them and into a strange city with your s/o?

Do you share finances in any material way or is the expectation that both of you will just pay half of each bill as it comes or whatever? (For instance are you on the lease together, gas bill, etc)

Do you participate in any organized sobriety program or pursue therapy of some kind? (I am asking this one because if you do, that should be something that should reassure him somewhat. However, I am not asking this because I think that it is the one and only or even best approach to sobriety and moderation, so please don't feel I am pushing an certain angle here.)

I am a little concerned here as I think your boyfriend sounds like he might be somewhat controlling of you, but I don't want to jump to any conclusions without more information.

In the meantime, please do not allow him access to your finances. It sounds to me as if you are isolated, in an unfamiliar location, without a built-in support network of people who have known you for a long time and care about your wellness or who can help you if you need it. You live with your BF, so he has control over your physical location. He's your only readily available emotional resource so he has control in that you are dependent upon him for a lot of emotional support. I am afraid if you allow him to have access to your finances it could lead to a situation where you have no ability to leave him/the city, if you decide that you no longer want to date him.