Please consult a doctor for your rashes... But they're not HIV related.
Protected sex is safe sex when it comes to HIV. You had no risk and don't need to test. When condoms fail, it will be very obvious, like a peeled banana.. You can't miss it. In your case, your condom worked. Be safe.
I also forgot to mention I had protected sex 2 weeks or so before I noticed the red spots. I wore the condom inside out and have no idea if there was a tear in it or something