Just to drive this one point home (IANAD, but personal experience): the cornea of the eye is simultaneously very susceptible to infections and more or less immunosuppressed by design to maintain clear vision (see [1]). Infections can spread extremely fast and will (even if promptly treated) leave behind permanent damage such as photosensitivity (best case really). Ideally you would have daily checkups to see if the antibiotic is actually effective.

If you use contacts, make sure to be extremely diligent in cleaning them.

1: http://en.wikipedia.org/wiki/Ocular_immune_system