How come my eyes is pink and itchy? allergies? infection?

Allergies: Itching is typically a hallmark of an allergic response but not always. It would be best for you to see an eye doctor to determine what the cause of the problem is so that the correct treatment can be given.

Could be: It could be either. It depends if you have discharge and what type of discharge, pain, visual problems, swelling, headache, and other symptoms like sinus pressure, runny nose, sore throat, etc. Also depends on your history of eye conditions or infections.