Hi! Remember that some of your feelings are likely due to your BPD. Are you getting treatment for that? I do recommend therapy.

It's unfortunate that he has her name tattooed on him. However, unless you get a guy out of the cradle, at some point most all hetero guys will have had at least one relationship with a woman. Could it be on some level that you are trying to push him away? (the push-pull of BPD behavior?) Try to remember that he broke up with her and has now chosen to be with you. So you have "won," in that sense.