Welcome to the forum. Thanks for your question, and thanks for doing some research by looking at other MedHelp threads and resources before asking your question. Although I disagree with the need for testing for HIV or any other STD (as you knew I would), I'll answer your questions directly.
1) A negative NAAT at 9 days probably would be about 90% reliable -- i.e. about that proportion of newly infected people would have positive results. For definitive results, you'll also need an HIV antibody test, which I would recommend at 1 month. The combination of those two results would be 100% reliable.
2) There are no commercially available, regulation-approved tests for oral HPV infection. We also don't know how long after exposure it would take for a new HPV infection of the mouth or throat to show up on testing; it might be several months. You probably can find online sources for such testing, but for these reasons I cannot recommend them. The only HPV type to be concerned about is HPV-16, which the only strain known to be associated with increased risk of later throat cancer. If you proceed, be aware that a positive result won't tell when and where you caught it and will not necessarily mean you are at risk for any HPV related outcome; and a negative result won't prove you don't have it. Here are a couple of threads (which in turn link to other threads) that provide detailed information about HPV, oral sex, and throat cancer:
http://www.medhelp.org/posts/STDs/HPV-and-oral-sex/show/1515473
http://www.medhelp.org/posts/STDs/Oral-HPV-Cancer-Risk/show/1512873
3) Absence of symptoms of oral herpes (blisters, sores, severe sore throat) will be strong evidence you didn't catch HSV from this event. But the only way to know for certain would be to have an HSV blood test 3-4 months after the exposure. If positive for either HSV-1 or HSV-2, it probably would not be because of this event.
4) Given your obvious compulsion to be tested, I would include a blood test for syphilis at 6 weeks or more after the exposure. But this too really isn't necessary after such an exposure.
Regards-- HHH, MD