First of of all, there is no such thing as having "all the symptoms" when it comes to HIV. HIV infection has no specific symptoms.
Second, you did nothing to put yourself at risk for HIV. People commonly catch colds and strep throat all the time, & protected intercourse is common in sexually active people who intend to stay safe such as yourself; the occurrence of one after the other is completely due to coincidence, not direct causation.
Third, you need to speak with your doctor about your rash. It could be related to the antibiotics that you were prescribed. But forget about HIV as a cause. If those are your only sexual activities with MSM and there was never any unprotected anal penetration then you do NOT need HIV testing and can move on as far as HIV is concerned.
You had protected sex and didn't have a risk of contracting HIV.