Other conditions besides HIV cause a rash. HIV is transmitted by unprotected sex, you used a condom and it didn't break you had no risk. If you are still worried and want a peace of mind test go and have one following your countries guidelines for testing times.
No risk, symptoms aren't a reliable way to diagnose HIV, it sounds like you have a cold to me. ARS symptoms may include a rash, sore throat and fever.
I don't think testing is necessary from what you have described.