My LO has dry patches around the top of her nose. My health visitor said it was ok to use a tiny bit of gentle moisturiser on it, so I put some Nivea Soft on it and it seems to have worked. I'd talk to your doctor or pharmacist if you're unsure.
I'm not sure if it'll help, but my LO has baby acne. I've been putting breast milk on her forehead and cheeks and it's been clearing up pretty quickly.
Re: Dry skin