Thanks for writing in.
from the history given above, it definitely looks like allergy
You should apply first cetaphil
lotion to your baby's body. If that is not available, apply at least moisturiser till you get medical help
You need to consult pediatritian to get medicines prescribed like antihistaminic syrup like cetrizine
Mean time try to find out cause for allergy as new soap or oil or cloth. Continue breast feeding and keep him hydrated.
I hope I have answered your query.
In case of doubt, revert back.