Around the eyes darkness could be due to stress , or hollowness under the eyes , around the mouth pigmentation could be due to different reasons specifically in females it could be due to hormonal imbalance or photo aging , also try to upload the picture of affected area
Next Steps
For around the mouth area you can use Clinical serum with kojic acid or niacinamide I would be able to help better on online consultation
Health Tips
Online consultation for better proscription