Welcome to the forum. You have already been reassured about both HIV and herpes on the STD, HIV, and dermatology community forums. I agree with that reassurance. You are obviously focusing on the coincidence of a new sexual encounter and your subsequent rash, assuming that the one caused the other. In fact, your rash has nothing at all to do with your protected sexual encounter in early August, just a coincidence. In any case, your description of the rash does not hint at HIV (or herpes) and the test results to date prove that neither one is the cause of the problem.
Let's dismiss the herpes business first. As you were told on one of the community forums, the IgM antibody test results are meaningless. For more detail, see
http://www.medhelp.org/posts/STDs/hsv-2--recent-vs-not-recent-infection/show/541451
To the specific questions:
1) Something else. Not any STD and unlreated to your sexual exposure in August.
2) p24 is an antigen test. In addition, there are PCR tests to detect HIV RNA in the blood. That test is not necessary in your case. A negative duo (antibody, p24) test at 4 weeks is definitive proof someone did not catch HIV, especially in such a low risk situation (based on your description in the community forums, condom-protected sex in Thailand, where HIV no longer is especially common).
3) No.
4) HIV and HSV IgM testing do not affect one another in any way.
Since you don't mention a doctor's opinion, I assume you have not sought professional advice for your rash. You need to do that and stop assuming a nonexistant connection with your sexual encounter in Thailand (or anywhere else). You probably arranged for your own STD/HIV testing through an online service or other direct laboratory method, without professional advice. You have wasted a lot of money on those tests. You need to stop trying to diagnose yourself or through online advice. See a primary care physician/clinic or a dermatologist.
I will be happy to comment again after you report the outcome of in-person professional evaluation of your rash, but not until then.
HHH, MD