If he already has genital HSV2, it is highly unlikely he would get the same strain in another location. The body, overtime, usually a couple of months after infection, build antibodies that essentially protect you from getting the same virus in a different location. I highly, highly doubt he got HSV-2 orally from going down on you.
You having HSV two Will not trigger an outbreak in him if he already has the virus. Is he sure his oral outbreak was HSV2? Did he get it swab tested?
You know, you asked him to get STD testing and he brushed it off. He’s too busy? That’s crap. If I were you, I would move on. If he’s checking dating sites, I don’t think he’s serious about a relationship.