Hi aarti, looks like your daughter has some infection. Nothing very serious. She should be ok with the antibiotics.
To avoid all kinds of infection in children my paeds. told me these things:
1. Always wash your hands with soap n water before feeding your toddler. Take care that food and utensils are very hygeinic. (Now i microwave all her food and dishes regularly)
2. Encourage your kid to wash hands with soap before eating.
3. Make sure your child's diet is balanced. Give fruits, vegetables, nuts to give them all vitamins to keep immunity strong (not an easy task!)
I give my kid homemade veggie soups or chicken soup regularly. Thankfully she likes it. No point in giving children antibiotics for cold tilldoc says because most of the time runny nose is viral n antibiotic is useless.