It's possible, but it would be more likely to happen all at the same time.
It's far more likely that you are fighting some ordinary cold or flu virus. It's still flu season in a lot of places.
Only an hiv test can provide hiv answers. Guessing info will be useless.
Totally agree with AnxiousNoMore. Symptoms can never be used to diagnose HIV, and a week after infection is too soon for symptoms from an early HIV infection.
You did have unprotected sex, so you are at risk for STDs. You can test for gonorrhea, chlamydia and NGU now. You can test for syphilis at 90 days and herpes at 4 months. If you get a 4th generation HIV DUO test, it will be accurate at 28 days. If it's just an antibody test, it will be accurate at 3 months.
If you get tested now for syphilis, HIV and herpes, it's a good baseline test to know that if you are infected, it's a new infection. You'd be negative now, and positive later.
Most people aren't infected, so don't overly worry.