You have posed a very interesting question. Indeed chin and cheek reduction surgeries are far more common in Korea and other Asian countries than in the United States.
Chin reduction is more commonly offered here and can involve surgery that addresses the bone or the soft tissues that make up the chin. An experienced surgeon should be able to exam you and define what the main anatomical concern is that is causing the unfavorable appearance.
Cheek reduction surgery is not as common here in the US. However, Botox injections are being used increasingly to soften the muscles along the cheeks and jawline to create a softer, more elongated appearance to round faces.
Both surgeries do have risks - these are best discussed in detail with your surgeon during consultation.
Insurance does not cover these procedures unless there is an associated craniofacial anamoly or deformity present.
These procedures should not be taken lightly and I have to say that based on your photo you have a very elegant and balanced facial harmony - may very well be best to do nothing at all!