Valtrex will likely reduce the risk of outbreaks and of transmission. But because HSV 1 genitally is so rarely given off from the body, we can’t know how much improvement these things will make.
The risk of you transmitting on meds is very low indeed. I doubt your eye issue has anything to do with herpes or the medication. I do not feel you need to disclose this to every casual partner if condoms are used, no.
Terri