Hi Adrianna,
Try mineral oil or eucerin healing ointment. This will help.
The discoloration will heal in time and fade.
Also i would look for some alternatives to waxing the upper lip. I think it causes major irritation to all women.
I have a little technique i use. I shave the area gently every 3 days. It doesnt make the area grow faster or darker by the way. It just removes the hair, and leaves no irritation. Ive been doing this for about 10 years. Before that i had bad experiences with bleach and waxing, and i dont think its worth it.
Hope this helps.