Hi!
From the picture, it appears that you could have had upper and lower jaw surgery, as well as a sliding genioplasty and braces.
Generally, this should not affect non-invasive facelift treatments. You should be able to undergo most of these such as high intensity focused ultrasound (HIFU - e.g. Ultraformer, Ulthera), fractional energy devices (such as fractional picosecond, fractional lasers, fractional radiofrequency), fillers, Dysport dermalift, subdermal lasers/radiofrequency or threadlifts.
These should be safe provided the proper precautions are taken.
Be sure to let your doctor know beforehand.
Hope this helps!
Warmest regards,
Dr Wan Chee Kwang