I think the information you gave was totally fine. I don't think you should be mysterious to the point that he might think you are seeing someone. 1) he couldn't care, which would suck 2) he could care, and turn it around on you, and detach from you further. Neither of those are good things. So, you were to the point. And I am glad you are giving him teeny bits of personal information, might help him a bit. If it didn't bother you to tell him that, that's good. Maybe you could share a teeny bit...
