From what you mentioned it seems as viral/ Allergic condition only, And it is self limiting.
It will subside with supportive medicine only. So here no need to take Antibiotic, Frequent use of antibiotic harm to your baby, whenever it really needed its does not work(Antibiotic resistance
So keep your baby away from frequent use of antibiotics.
Your baby prone to which type of allergy
, is very difficult to catch,
Because of low immunity most of child frequently suffer, so put efforts to increase her immune system,
Proper vitamin(especially Vitamin C
) / iron/ calcium supplements
if possible. you can get back to me with the progress in case u need further suggestions.
"i wish your chil good health"