What they said.
Let me just be the parrot here. The bug starting the process of most infections are either a virus or a bacteria. Either of which there are innumerous species. Attacking our body, these little critters initiate a more or less severe immune/defense response by the host (you). In this case, the bugs seem to have chosen your eyes as breeding ground. Thus, here is where the body will make a stand. Dilating the blood vessels in the eye, drawing a complex battle machinery with white blood cells, antibodies and defense proteins to the site. Once there, they leak out in the tissue starting to kill off the bugs.
The result is what you see in the mirror. Red, swollen and often with more or less discharge.
Now, there is no handy treatment against the virus, but even when a virus started the battle there are always plenty of resident bacteria that love to muck in and having a go on the smörgåsbord.
To make a unnecessary long story a bit shorter, for a full scale counter attack I would go with both antibiotics (preferably both systemic - tabletts - and local) together with systemic corticosteroids like betamethason or prednisolon.
This would normally be overkill and nothing a wise doctor would prescribe for any simple conjunctivitis, but seeing (no p. int.) as you are getting married an´all - and there is no harm done, I would not hesitate one minute.