Thanks for your query.
Your baby is having features of acute gastroenteritis
with respiratory symptoms which are mostly viral in nature and settles in few days.
I do not suggest giving antibiotic which are to be given only in case of bacterial infections.
You should never do any self medication
Continue with oral rehydration solution sip by sip after each loose stool,give coconut water,lemon water,boiled potato,mashed banana,curd.
for 2 to 3 days.
In case of fever give acetaminophen
as per dosage if fever rises above 100F.
Watch for any feature of dehydration like decreased urine output/lethargy and in case you observe any get her evaluated by pediatrician
for proper management.
Wishing your baby good health.