Thanks for query,
You have taken wise step stopped giving homeopathy
medicine and started antibiotic as you continued giving homeopaty medicines without giving antibiotics might had developed pneumonia
and other life threatening complications.
You do not worry,after full course of antibiotic your child is ok.
Due to infection going into lower respiratory tract cough
will remain for one week more and gradually it will be alright.
Continue some cough syrup for symptomatic relief.
Ok and bye.