My seven year old has a hoarse cough and his chest hurts when he has these coughing fits? should he see his doctor or wait it out? thank you

Be seen: It is likely bronchitis, but if he is having pain with breathing, it should always prompt you to have him seen.

Depends on timing: If he has only had symptoms for a day or two then there is a high probability he has a viral upper respiratory tract infection. In that case his symptoms should improve within a few days. If he is having trouble breathing or if he has a high fever or if he is unable to eat or drink, these are all reasons to take him to the doctor right away.