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The good thing is regarding your STD that your doctor was spot on and gave you the treatment required at that point. With a course of azithro and ofloxacin, by now the infection would have cleared up. Your eye symptoms must be some other infection and definitely not because the bacteria is travelling to your eyes. So please don't worry about that. When you finish the course of antibiotics, and get yourself tested it would definitely be negative.
For your eyes if there is a lot of discharge then it is due to an infection and you can ciplox eye drops 2-3 times daily 2 drops in each eye, depending on your symptoms. If there's no discharge then it can be due to allergy or irritation, for which i would advise refresh tear drops, 2 drops in each eye, 2- 3 times daily,till your symtoms persist. If it doesn't get better in 2 days, get an ophthal opinion.
However i would like to reinforce the eye symptoms are not due to Ofloxacin and definitely not because the bacteria is traveling up to your eyes. Infection with Mycoplasma is localised to urrthra and penis, can cause urthritis, with burning urination. But you have been already treated for that. Once the reports come on thursday i think you will be able to relax. So just wait till then and take care of your eyes.
Hope that answers your query.
Regards