No. You are wrong. You can not get ARS symptoms, I reiterate you never had a risk.
Your symptoms are unrelated to HIV. You used a condom and that ensured your protection. Also, oral sex is not a risk. You can't have HIV ARS when you never really had an exposure.
It is very common to acquire sore throat and some mild ailments when you have oral sex with a new partner. I suggest you go see a GP and get treated for common cold etc.
This answers all of your HIV questions, and if you can think of any more just reread about the 3. You had zero risk therefore testing is irrelevant to your situation because you had zero risk. HIV is a fragile virus, which is instantly inactivated in air and also in saliva which means it is effectively dead so it can't infect from touching, external rubbing or oral activities. It doesn't matter if you and they were actively bleeding or had cuts at the time either because the HIV is effectively dead.
Only 3 adult risks are the following:
1. unprotected penetrating vaginal with a penis
2. unprotected penetrating anal sex with a penis
3. sharing needles that you inject with. These 3 are all you need to know to protect yourself against HIV. The situation you describe is a long way from any of these 3.
Even with blood, lactation, cuts, rashes, burns, etc the air or the saliva does not allow inactivated virus to infect from touching, external rubbing or oral activities. Doctors have calculated the risk from what you describe to be less than that of being hit by a meteor, therefore no one will get HIV from what you did in the next 40 years of your life either. The above HIV science is 40 years old and very well established, so no detail that you can add to your encounter will change it from zero risk.
Only the head needs protection, and the condom did that otherwise if it was so loose to not protect, then it would have fallen off. Looking healthy is not a diagnostic tool, btw. People cough germs on your lips and door knobs so your sore throat is to be expected at any time.