That's not a burn......apply neosporin, and let the rest peel!!
You might need to budge it a bit, get an oil, on damp skin, while in the shower get a bit of oil and gently rub on your elbow, gently lifting the skin that hasn't peeled. Once out of the shower, again, apply neosporin.
Keep loose clothing on, so nothing tight where it would be rubbing/irritating your elbows.
The thing with "peels", you have to let the peel work the way it was intended. Don't expect overnight changes by just applying a peel. Your skin isn't going to change nor peel overnight. It takes time......it takes patience, and.......more then just applying a peel one time.
With each peel your skin improves that much more. You can't jump ahead of the game, and apply apply apply, without giving your skin the chance to heal. Also, you can't jump ahead and think ok let me use 50% strength and get faster results.....this never works out the way you think it will. Start with a low %, figure out how peels work, then move up in strength, with this, you are also gaining knowledge of how acids work.
Your on track @
Nadra keep up the good work, only thing I would do, is next go around, lower the strength. This was GA your using, not LA, so lower the strength. They work similar but GA is much more harsh then LA.