Hello, according to CDC, any HIV test is conclusive if taken 12 weeks after an exposure. Yours is conclusive.
About your symptoms, ARS is the first stage of an HIV infection, is the body’s reaction to the infection. Some HIV positive people, but not all of them, reported that around 20 days after their exposure they had fever, sore throat, rash and flu (not cold) like symptoms, all of those came together, or within a few days of difference and lasted for a few weeks. As you see, the same symptoms are present in many other illnesses and not everyone had them, so, we can’t rely on them to diagnose HIV.
The symptoms you describe don't sound like HIV or ARS, but the most important thing is your conclusive negative test, you have no reason to worry or test again.