Thanks for your query.
Your baby is having respiratory symptoms which are mostly viral in nature and settles in few days.
Antibiotics should be given only in case of bacterial infection.
I suggest you not to do any self medication
Give her plenty of fluids.warm water will be soothing.
Give her steam inhalation as it helps in loosening of secretions.
If symptoms persist or there is any fever
or rapid breathing get her evaluated by pediatrician
for proper management.
Wishing your baby good health.