I get really dry skin on my nose and cheeks. It flakes off nearly every week - like a sun burn does. Lotion helps sometimes. What should I do next?

Possible eczema. discuss with your physician regarding eczema. Moisturizing lotion used on skin after shower/bath may reduce dryness. One percent hydrocortisone cream available over the counter may also help.
Rash. next measure would be to try to figure out what causes this rash and try to eliminate offending agent, which could possibly be some kind of allergic reaction to food or medications or some other underlying systemic condition .