Since you both were properly treated against both gonorrhea and chlamydia, you can be 100% confident neither of you could have reinfected the other. Even if the infection were still persisting in one of you 4 days after treatment, the other person still had plenty of antibiotic in his/her system to prevent reinfection.
The standard advice by STD experts is to avoid sex for a week after treatment for gonorrhea. But this really is most important with respect to other partners; for two people who both were infected, and with no new partners, it really isn't a big deal. You don't need retesting.
Good luck-- HHH, MD