Welcome to the HCM
I have gone through your question and understand your concerns. But don't worry. Most of the coughs without fever
and breathing problems are viral in origin and improve gradually over a period of time.
In early infancy there is no need to continue treatment with antibiotics and antihistamine for these symptoms. As such, I would recommend you to just give her comfort care which includes:
1. Keep her well hydrated by regular feeds.
2. Use normal saline nasal drops every 3-4 hours with suction at times, if she has blocked nose.
3. Keep a room humidifier while sleeping if the weather is dry.
As the baby grows, these symptoms gradually subside.
Hopefully this will help you.
I would be happy to help you out in any questions.