Based on the photos you have provided, it appears that there has been over penetration of the peel. I would ask to see the person who performed the peel in person for a followup. To prevent hyperpigmentation/scarring, keep the area moist, stay out of the sun, and avoid any harsh products on your face. If you were my patient, I would also probably consider a topical steroid cream to help control and inflammation. Again, stay out of sun, don't pick your skin, and keep the skin moist.
However, I strongly encourage you to see a board certified dermatologist for any care you might need to deal with post inflammatory hyperpigmentation. Please consider posting more photographs here on Realself so we can follow your progress.