Welcome to the forum. However, it is intended for clinical and prevention advice for personal reasons, and to educate other users. The kind of research you are doing requires responses far more detailed than are practical here, as well as literature citations to back them up. Thus, my replies are brief. You'll need to carry out more scholarly research. If you do most of that study on line, you should carefully limit yourself to professionally run and moderated sites. If you do that, you will find there actually is not much difference of opinion or advice about HIV testing.
1) Depends on test type. 6-8 weeks is generally conclusive for the HIV antibody tests, even though 3 months is commonly recommended. Other tests (PCR, p24 antigen), or combinations of tests, are reliable after shorter intervals.
2) Yes, except a slightly higher chance of false positive results with the rapid compared with lab-based testes.
3) Yes. Oral and blood rapid tests have essentially identical performance characteristics.
4) Much too complex for a useful reply. I'll just say that 70% of people with ARS have sore throat, fever, and skin rash (all 3).
5) Irrelevant. My personal experience has no bearing on how frequently a rare event may occur.
6) It assume "mess" is supposed to be "meds". In theory, potent chemotherapy or immunusuppressive drugs in high doses may delay development of measurable antibody. But I stress "in theory". There are few if any reports that it actually happened. Certainly no other medications are known to have such an effect.
7) No. Again, in theory advanced cancer and other terminal illnesses -- but her too, no actual reported cases that it ever happened.
8) For the purposes of such a paper, there innumerable other details you need to learn. I couldn't begin to list them.
Good luck-- HHH, MD