As for the effect of your amoxicillin on your tests, you are correct, in some people
amoxicillin will cure
gonorrhea or make tests negative. If you had
gonorrhea and the
amoxicillin were having an effect however it would most likely not only make your test negative but cure your infection as well, hence if your tests are negative, I would not worry further about oral gonorrhea.
Statistically, your sore throat is more likely to be a viral infection than anything else.