Removal of buccal fat will affect the areas of the cheek, and not the corner of the lips. A close simulation for buccal fat removal is by sucking in your cheeks to create a hollow under the cheek bones. This is quite far away from the corner of the lips. The corner of the lips are a separate region from the buccal fat region. It is very difficult to make an assessment based on just your description alone.
It depends on the quality of the fat. If the buccal fat removed is soft and not so fibrous, it can be processed to inject in the eye hollows. The results will depend on the processing and the absorption of the fat, as well as the depth of the eye hollows.
I hope my reply helps.
Warmest regards,
Dr Por Yong Chen