Hi. There many types of "dry spots". People that use anti-acne creams such as high % benzoyl peroxide of one of the retinoid creams may have "dry" red spots.
If this is the case, you need to try to reduce the use of these creams to once in two days and combine it with a good oil-free moisturizer in the morning. You may look for suggestions in the "tips" section of your personal plan.