Oral sex exposes you to syphilis, gonorrhea and herpes. The risk is low compared to penetrative sex, but it's not zero, You should test as follows:
-Gonorrhea, 3 weeks after the exposure.
-Herpes, 3 months after the exposure.
-Syphilis, 6 weeks after the exposure. If the result is negative, repeat the test 3 months after the exposure, as there are people who take longer to show a positive result.
All the best.
The azithromycin you took would take care of chlamydia, which you didn't have a risk for, and NGU, which you did. It would not cure gonorrhea or syphilis, and herpes is a virus, so there is no cure.
Since you took the medication, you'll have to wait at least 3 weeks to test for gonorrhea, instead of the normal 3-5 days. The antibiotic can cause you to perhaps have a false negative test.