Need help with baby's hair... cradle cap too 🙁

Hey all, 
My baby's hair doesn't seem to be growing. She's 16 weeks. She has cradle cap which started decreasing because I shampoo her hair everyday, but there are some still there 😕 I'm wondering if that's stopping the growth 
Also I see hair particles on her blankets. Seems like her hair is falling out too. Is this normal for them to shed hair???
Any advice for cradle cap, (oils, shampoo you use) or anything that can help growth or to avoid shedding? How do I make these things on her scalp go away 😩 
I heard to use coconut oil on her scalp? Any experience with this?