Neck/Lower Facelift ?
Just based on the photos alone, you do appear to have loose skin that would best be treated with a neck lift. As a board certified plastic surgeon, I hear concerns like yours daily. Every plastic surgeon has his or her techniques to employ in surgery. I have developed a rather complex placement of sutures in the neck that suspend the tissues up toward the lower face, thereby creating a very clean, sharp jawline. The texture of your skin should also be addressed with laser resurfacing either at the same time as the neck lift, or during another visit. I recommend consulting in person with a board certified plastic surgeon to discuss your concerns and expectations.
Since your photo shows loose skin and loose playtsma muscle bands (ridges), with intervening depressions from the suction, I think a standard necklift to tighten loose skin, tighten upward the saggy muscle bands, and smooth out any irregular fat deposits under direct vision would offer you the best options to create a smoother, firmer neck contour. This would require an incision behind both ears and a short horizontal incision just beneath the chin, and could be performed with local anesthesia and iv sedation.
