If we are considering a peel around the mouth, and we're wanting to peel around the eyes too, then we usually just go ahead and peel the entire face.  The results can look more uniform than if we peel a couple pieces of the face.  Peeling the entire face in these cases is by no means mandatory, but very often if the eyes and mouth can use a peel, the cheeks at least contain some early wrinkles that can also benefit from the peel.