Re: eye infection
sounds like pinkeye (conjunctivitis)...fairly common in children... may not be from the cosmetics...at 3, I'd think more from touching something and rubbing her eyes. It's very contagious though, if it is...so, be aware to wash your hands, don't share towels with her, etc..
I got i from one of my children once... horrible!
She'll probably just get some drops, or goo to put in her eyes a few times a day, then it will heal up really fast!