Baby eczema / heat rash on face

My baby boy is 5 weeks old. He started to develop heat rash on his face a few days back. Only on face. His neck and body are doing good. Does ur baby experience heat rash before? What did u do to help? I brought him to see dr and dr said it’s like normal baby eczema and will recover on its own. But i think my baby feels his face itchy. I only apply baby moisturiser to help. #1stimemom #advicepls