Can some eye drops exacerbate your conjunctivitis?

Yes: Some have preservatives (longer shelf life) and may also irritate the conjunctiva due to sensitivities of individual patients.

Yes: As an interesting fact, most of the conjunctivitis I see is virally caused. Often an affected individual has been treated at Urgent care facility after hrs, & is prescribed an antibiotic, usually an aminoglycoside (gentamicin, or tobramycin). When they see me, it's on the basis of worsening eye condition. Often (not always) 1 of these 2 antibiotics causes significant ocular Irritation.