Hope, I get that too. It is sort of funny but very strange. I had a single mastectomy so I have one natural breast & nipple and one implant reconstructed breast with no nipple. (I replied to this post because the itching problem happens to some of us whether we've had reconstruction or not).
If it has been many years since a person was infected with TB, his or her initial skin test may be negative, because of waning immunity. Subsequent tests may be positive, however, because the initial tuberculin placement stimulates the immune response to the test.
I do agree with your doctor. HIV testing is known to give false positive results. Since your repeat? p24 antigen and western blot are negative and viral load is undetectable, your ELISA is a false positive result. The fever and sore throat was possibly just a mild flu and antibodies produced against the flu virus can cause false positive HIV tests. Using a handkerchief with indirect exposure to genital secretions is highly unlikely to result in a HIV infection.