Thank you for your query,
Your child seems to have a upper respiratory tract
infection with a post nasal drip
which is the cause of cough worsening during lying down and after she gets up due to positional change.
Due to forceful sneezing
bleeding may occur in the nose and nothing to worry if it is stopped.
You can continue the medication as prescribed and you can give an antihistamine syrup and nasal drops like otrivin
pediatric after the consultation with your doctor.
Hope I have answered your query.