Hello.
Thank you for asking at HCM.
A smooth, hot, slightly itching
rash, not lasting for long duration, improving by
cold packs, otherwise fine - can be due to many things.
I would suggest you to look for - sweating, type of clothing (cotton/woolen/other), fitness of clothing (tight/loose), whether rash appear after bath/exercise, whether it appears after ingestion of specific food/drug, etc.
I feel you may be able to identify the cause from above clues.
As general measures, I would suggest your son to wear loose clothes, avoid sweating & apply cold packs when rash appears. If it is not relieved, an antihistamine drug (such as cetirizine,
levocetirizine,
fexofenadine, etc) will help.
Hope this will be helpful to you.
Wish your son best of the health.
Regards.