Help please for my newborn


My baby is a month old. He is now starting to get cradle cap really bad and it’s taking is hair out. Also he broke out really bad in baby ache ! It started to clear up then broke out and got worse. It’s covering his whole face, ears, and neck. Has anybody else experienced this with their newborns? I talked to the pediatrician she said it was normal and it would clear up on its own but it’s worse now. How long should it take to clear up? And for his cradle cap I’m thinking about getting cradle cap brush and cream for it. Washing his hair hasn’t helped.