Hello and welcome to healthcaremagic
Judging from your query, your
sunburn appears to have partially healed and the dead skin is now starting to peel off revealing new skin. You should avoid forcibly pulling off the dead skin and also avoid using any cosmetics, moisturizers, toners, make up etc over the new skin. Use a gentle cleanser e.g
cetaphil cleansing lotion, twice daily, for face wash and avoid using soaps etc.
I would suggest that you apply a moderately potent
topical steroid cream e.g
fluticasone propionate cream, twice daily over the affected area for 5 days.
Steroids would decrease the discomfort of peeling and would hasten the healing process.
Use a broad spectrum sunscreen, that which offers both UV B as well as UV A protection throughout the day, preferably a sunscreen with spf at least 30+ would be good for you.
regards