@Letitsnow,
No, no, a thousand times no.
Where's your husband in all this? Why aren't you, if you're thinking about apologizing to anyone, more worried about how
he feels, even if your marriage is technically over?
Here's the lowdown.
The guy you had an affair with? He wanted to get into your pants. And when you refused to allow that more than once, he snubbed you. And now you feel bad about, uh, what, exactly? That you got him to reveal what he was really after all along? That maybe his pretty words and his hand-holding and whatnot were just a ploy to make the beast with two backs?
I'm sorry that this is harsh, but honestly, you aren't looking for closure here. You're looking either to get your hand-holding back, or to go in and have sex with him without guilt, or to somehow get him to beg you to take him back. Except for the sex part, it's highly unlikely that any of that will happen. This will not be closure, and closure is overrated anyway.
Here's an idea. Continue with the no contact. Congratulate yourself on having dodged a bullet, that you didn't have this guy's kid, didn't get a divorce over him and woke up and smelled the coffee and stopped things. And then seriously consider counseling, to learn why opening up this messy can of worms is a bad, bad idea.