Hello...I understand your worries, but there are certain things a normal newborn baby does.. Sneezing often, occasional coughs, mild noise during breathing, crying during passing urine and stools, hiccups...All these are quite normal and should not be confused with cold or digestive problems and being given unwanted medicines...Only if the cough disturbs your babies regular feeding along with fever or fast breathing should be a cause for concern...And teary eyes, u just need to use a wet cloth and massage ur child's eyes from one end to nother frequently in a day, while symptoms will reduce as your child grows....Hope this post has solved your query...