Here's a few examples below of you having HIV BUT I would say it is highly unlikely you will get it but you have done the right thing with getting a blood test done to see if you may caught it, they might repeat it in about 6 months just to make sure, it's more manageable these days with medication compared to when HIV first came out. The rash might be caused by something else...?
Some people infected by HIV get a flu-like illness within 2 to 4 weeks after the virus enters the body. This stage may last a few days to several weeks. Some people have no symptoms during this stage.
Possible symptoms include:
Fever.
Headache.
Muscle aches and joint pain.
Rash.
Sore throat and painful mouth sores.
Swollen lymph glands, also called nodes, mainly on the neck.
Diarrhea.
Weight loss.
Cough.
Night sweats.
These symptoms can be so mild that you might not notice them. However, the amount of virus in your bloodstream, called viral load, is high at this time. As a result, the infection spreads to others more easily during primary infection than during the next stage.