Re: its my doing but this so called separation is destroying me
I'm very interested to know what your next move will be. I think she is testing you, and if you could dig deep into your pool of inner resourcefulness, you could surprise her. I am not talking of buying her gifts here.
As for what I would do in your position, I would not lie. If you think you are going to be unable to keep out of chat rooms in the future, then you may as well tell her. There is seldom a good case made for deception. By promising something twice and breaking it, you made your word a sham.
Better to ask her if she can love you just the way you are. If you want to work on your addiction, that's great, but she would be unwise to put her faith in you staying on the wagon. In any case, even though it's not every one's cup of tea, it's not as if you were up to something horrendous.