The recent symptoms that you describe, sore
throat and fatigue are some but not all of the signs of early HIV
infection but they are also very non-specific and far, far more likely to be due to some other process such as a community acquired viral sore throat (not HIV or STD) than HIV. Further, the symptoms of early HIV would not be expected to begin so soon (3 days) after exposure- the onset of symptoms takes more than 2 weeks to begin.
Similarly, your cold sore is not a sign of HIV.