From what I understand you really shouldn't be at work with conjunctiveitis.
It is really contagious, i.e you touch your eye, then pick up the phone, someone else then uses the phone and touches their eye etc etc. Maybe it's more obvious in our office as we all hot desk but germs get spread so easily. The computer concentration won't be helping either. Go home and rest your poor eye. And yes, if it's worse tomorrow, stay at home, it's horrid being ill, hope it clears up quick sharp.