Unhappy with prominent and sagging area fro lower eyelids to nasolabial fold - advice? (photos)

Female, asian, 35 yo, 163cm (64 in), 51 kg (116 lb). I have a thick layer of fat all over my face. If I lose body weight, I never lose much of the face fat. I had two jaw surgery, after which the nasolabial fold is sagging even more. I don't consider injections since I have lots of fat; this will make my face even bigger. My surgeon said I needed a deep plain lifting. I think this wouldn't be enough. I wonder if the liposuction or excision of the nasolabial fold is effective.