Is it likely that I have ligament damage and facial laxity after weight loss?

Thank you for your pictures and questions. It is unlikely that modest weight fluctuations are going to cause significant changes in your facial appearance. The concerns you have are more likely due to normal early aging changes, anatomical differences, and genetics. If you have concerns about your appearance, go have a consultation with a local plastic surgeon who is board certified by the American Board of Plastic Surgery. They can discuss possible options for intervention.Hope this helps!Dallas R. Buchanan, MD, FACSOwner & Board-Certified Plastic SurgeonVIVIFY plastic surgery

Hi, Sociable7986,
It is unlikely that the laxity you are experiencing is caused by the weight fluctuations you experienced in your twenties. This is great news because it means you have many noninvasive treatment options that can address the concerns you have with your aging process.
Here at Totality, we offer many treatment options that can address the laxity in your face. My medical recommendation would be treatment with the NuEra TIGHT. NuEra TIGHT uses radiofrequency heat to stimulate the production of collagen and elastin and visibly tighten the skin around various areas of the body, especially the face. It is noninvasive and feels like a warm, relaxing massage. After 6-8 initial treatments, it requires a minimal maintenance of 1-2 treatments per year. 
Another option that may work for you is microneedling. My office uses SkinPen, an FDA approved micorneedling procedure that promotes the body's production of collagen and elastin to improve sagging skin, fine lines and wrinkles, acne scarring, and other minor skin impurities. 
While either of the options may be a good fit for you, I recommend consulting with a specialist to design a unique treatment plan that will give you the best results.
Best wishes,
Dr. KathyLee Santangelo

The aging process is associated with fat loss in the face, thinning skin, and bone resorption. It becomes more obvious after the age of 29. So, weightloss can affect your appearance but the ligament issue is not as important as skin laxity. I would suggest skin tightening with radio frequency- add nanofractiong or skin resurfacing to improve tone. Then, consider filler along zygoma- not too much. Most importantly, look to dietary habits. A clean diet does more for your complexion than almost anything else.