Yes, I think other posters are correct. Focus needs to be on you yet it seems to be on him.
Living in this situation is clearly putting your sobriety at risk. Whatever happens in the relationship, you need to take care of yourself and your own recovery. He's pulling you down with him, and in your heart you know this. That's why you are so clearly aware of the lies.
Bottom line: Is this relationship making you happy right now as it is because you cannot change or force him to do anything. His addictions will just get worse and the situation will degenerate. That's the painful truth of addiction.
I'm sorry this has been so hard and I think it is amazing you are working on your own recovery as much as you are given these distractions and pain. Loving somebody isn't enough to fix things this serious, and that really hurts.
Please keep posting and we will support you as best we can.