Yes it is possible if unlikely to be infected this way. You should be suspicious enough to obtain the testing, which will be useful.
I think you need to start by finding a doctor or clinic who actually knows what they are doing! That can be a little difficult unfortunately. The testing you are after is IgG antibodies type specific for HSV1 and HSV2. Sure, if you ever had cold sores then you would show positive for HSV1 but not HSV2. It is difficult to run down the location of a HSV1 infection at times, but at least you'll know more than you presently do.
also no protection during the rubbing. But the penis never actually went in my body