Girls, my daughter has had runny nose and congestion for four days, sh…

Girls, my daughter has had runny nose and congestion for four days, she's also coughing dryly. This is causing her to be very restless and having trouble sleeping. Yesterday we saw a pediatrician. She said that her throat was slightly red and prescribed antibiotics. Share how you treated it. On one hand, I feel bad giving antibiotics at such a young age ? but they said children quickly transition into pneumonia.