1. I don’t think there is some basic problem with your immune system, no, certainly not at this point. I don’t think you have any where near enough information to decide that or even worry about it yet.
2. You should have a good immune response four months from infection. Having antibody does not mean you won’t have outbreaks, you know, if you do have herpes. It just means you have mounted the immune response and are extremely unlikely to get this in a new location on your body.
Your plan of getting your next symptoms swab tested is a good one. Be certain they are using the best test, the HSV PCR test, NOT culture. PCR is far more sensitive and be certain that it is typed (HSV 1 or 2) if positive.
You have one more post/question should you need it.