Pink eye, can be transfered from one animal to another. IF IT IS PINK EYE, it can be transfered.
The poster didn't provide photos, so I was covering all bases.

Warm compresses, and washing are a GREAT treatment for rodent problems. I don't know why you'd discourage them at all.

And yes, there are antibiotics, for rodents, that go -in- the eye. It's a cream.

Since your solution to all medical problems seem to be 'feed them off' you clearly must not have much experience in treating medical issues in rodents. So don't be so quick to dismiss helpful advice that may help someone's animals.