p24 test is not valid...only an antibody at 3 months is conclusive.
see a Dr for your rash it can be so many things.
I did have a p24 hiv1/2 antibody test at 21 days which tested negative.
Am I correct in thinking that bartonella is little pinky spots sporadically spaced out. Thats what I have at the moment on my chest...
For the unprotected sex, have an HIV test at 3 months post exposure.
For the "rash", see a doctor. You cannot diagnose yourself. Searching the web in an anxious state is never a good idea.