It would be extremely uncommon to have a strain of HIV that is not detected by all those tests and PCRs.
Yes there have been a couple case reports- mainly from infections contracted in Africa, that are not detected by our common tests. But they would show significant immunosupression- with a low CD4 count.
Frankly it is highly unlikely you have any form of HIV- but if you have had an uncommon sexual exposure from with someone from Africa- that is something to consider, and be tested for you CD4 count.
Always ask if you need clarification/more information.
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It would only say if you had advanced immunosupression.
Have your illnesses been those seen in immune suppressed patients?
Overall, again it sounds like you do not have HIV-
None of those suggest immunosupression.
They could be related to EBV, CMV or other causes of mononucleosis.
Again, I am not suspicious for HIV given your multiple negative tests.