You absolutely do not want to put activated charcoal near your eyes. Activated charcoal is what is given to people to who have overdosed to bind the toxic substance. Something you put in your stomach does not mean it is safe to put near your eyes.
Look, I have more than once spent 20 minutes flushing someone's eyes with a liter of saline in the ER because they have gotten something in their eyes that doesn't belong in the eye. Save yourself a trip to the ER. Don't put things near your eyes and risk damaging them.