That particular diet seems like it's lacking fat and possibly some B-vitamins. Something about the processing of commercial baked goods lowers the vitamin content, and certain B-vitamin deficiencies can cause peeling lips.
You really need to mix it up at meals to keep your blood Sugar stable. Carbs get processed quickly, fat & protein take longer. Adding some fat & protein to your carbs slows gastric emptying and keeps you full longer. It also keeps your blood Sugar from spiking and crashing during the day.
Best thing you can do for your Acne is keep your face clean. Use a gentle soap-free cleanser. Don't overdry it with astringents - that makes your skin think it's dry and pump more oil. Try not to touch your face during the day... don't prop your face on your hand during class. It's as much bacteria & hormones as anything.