Thanks for your query.
Your baby is having cold cough
all features of viral illness and will subside in few days..vomiting
is associated with cough.
Continue with medication as advised,give steam inhalation during night.
Continue with breast feeding.for vomiting promethazine
can be given in prescribed dosage.as it is antiallergic and antiemetic.
In case symptoms persist get reevaluated by doctor.
Wishing your baby good health.