Your outbreak pattern is certainly suggestive of HSV 1 genital infection but without testing there is just no way to know for sure. So have you been to a GUM clinic about this?
Has your current partner ever in his life had a cold sore? If yes, then he very likely won’t get your genital infection. And if he is actually HSV 1 negative, then the risk of transmission of HSV 1 is much lower than HSV 2 with genital to genital contact because HSV 1 genitally is shed far less often.