Pink eye- conjunctivitis- is usually viral, allergic or bacterial by cause.
presents with itching, watering and redness along with other symptoms like running nose. It is usually self limiting.
presents with pus like discharge with swelling and redness of eyelids. This might need treatment with antibiotic eye drops/ eye ointment.
if severe might need Antihistamines.
being an antifungal- is not going to help you for pink eye.
So its better to see a doctor and get her treated accordingly.
Wish your son good health.