Your equivocal test result is probably falsely so and probably has something to do with cross reactivity due to your hsv1 infection.
I think it is a good policy and ethically imperative for anyone that knows they are infected with either hsv1 or hsv2 to let any and all future sex partners know they are. At least half your future partners will be hsv1 positive and probably won't know it. But, it gives you an opportunity to have an open and honest discussion about sexual history and std status and can build intimacy.
You can NOT get genital HSV2 from kissing someone. No offense but that is an utterly ridiculous notion. It is a sexually transmitted infection for a reason; sex must occur in order for there to be any risk of transmission. In other words, for there to be a chance of transmission, a penis must penetrate an anus, a mouth or a vagina followed by vigorous rubbing and friction to massage the virus into uninfected skin or mucosa. And even when that happens, transmission does not occur in the vast majority of sexual encounters.