Have you had a recent round of antibiotics for sickness or steroids for the acne? Are you taking any meds at all?
It's hard to suggest what the problem could be with such limited info, but you may want to do some research on candida Yeast Overgrowth . Eczema, fatigue, and brain fog are very common symptoms of this.
For the dry skin, try some virgin coconut oil. It sounds bizarre, but I had acne until I stopped using soap and started washing my face with nothing but coconut oil. I think I was causing oily skin and acne by irritating my skin with chemicals then putting on more chemicals in the dry spots.