So when you say HSV1 positive and HSV2 negative, are you saying that you had a blood test with those results? Statistically, the chances are that you have an oral hsv1 infection (think cold sores), not a genital one. About half the adult population has oral hsv1, and 90% won't ever get any symptoms.
That said, the icy mint feeling is not a symptom of herpes.
If you have redness on the head of your penis, you might have balanitis, which can be a fungal or bacterial infection. It could also be dermatitis or eczema, which might give you the feelings you're having. Has a doctor seen that?
If you can tell me more about how you were diagnosed with hsv1, I can help answer your questions about HIV. Generally speaking, if you use condoms, you won't get HIV. If you are in a relationship with someone who doesn't have HIV, you can't get it from them, either. So, as always, use condoms until you are sure of someone's STD status, and know you are both committed and monogamous.
I can get more specific when I have more info about your testing and diagnosis.