There are some false positives on the IgG test for people who test positive with an index value greater than three. So yes, there is a possibility that this is a false positive. Genital HSV one would not cause tingling or pain in your back arms and is unlikely to be the only symptom of genital HSV one with tingling or pain around the testicles or inner thigh.
it would certainly have no impact on the consistency of semen. Statistically, your infection is more likely to be oral then genital but without a lesion in either location, it isn’t possible to say where this infection is, if your test is accurate.