Are high SMAS, Deep Plane face lifts ,and vertical face lifts the same lifts using different names? (photo)

You seem to be good candidate but a lot of patients are confused with all the different marketing names for various facelifts, some of which are the same but some of which are totally different. Additionally, different surgeons are trained in different fields, hospitals and tweak the procedures differently so there's a lot of confusion out there. 
You should discuss with your surgeon the various types of face/neck lift they perform and is most appropriate for you. Surgery is not for everyone. In today's day and age, there are many nonsurgical options to consider although surgery usually gets the most improvement specifically of the jowls.
I would recommend that you see a board-certified plastic surgeon in your area that is a member of both ASPS & ASAPS and performs a lot of facelifts but also offers all the nonsurgical options such as injectables and laser treatments. Go over your concerns with them and make sure above all, you walk out of there with several options and an idea of the pros and cons to each of them as well as realistic expectations. I hope my answer helps and if it does, please take a moment to up vote this answer on the “respond” button on the top right.  

You seem to be good candidate for face/neck lift and eyelid surgery. Very frequently these days, fat grafting and volume replacement is a part of facial rejuvenation done in the course of face lift. Once you select your surgeon let him decide which type of face/neck lift is most appropriate for you; they may be similar in the way we handle SMAS but individual needs of the patient will guide an experienced surgeon to make needed adaptations. Good luck.