pediatricians in general know very
littleLittle noses decongestant
Little tummys about eyes and eye problems. IMO they way over diagnose bacterial 'pink eye'. anything that causes a child to have a red eye they usually deem as 'pink eye' and throw antibiotics at it.
from that description i dont know what is wrong with your 2 year old. i'd have to see it. but almost any eye doctor could QUICKLY tell you. your 2 year old needs to see an optometrist or ophthalmologist.