Thank you for your query.
I think there is reason to worry.These are signs of adenoid
hypertrophy which is a tonsil
like gland lying behind the nose and can only be visualized by X ray
.Spitting and gagging is not a regular phenonmenon and not having good sleep indicates partial blockage of the respiratory tract
during sleep.Apply nasal decongestants regularly and make her sleep on one side.Consult an ENT surgeon immediately.Hope this answers your query.Have a nice day.