It is next to impossible for your vagus nerve to be injured during a face or neck lift. I don't perform suture only lifts, but I can't imagine injury during that technique either. This is because the nerve lies deep in the neck under a large muscle in a fibrous lining called the carotid sheath adjacent to your carotid artery and jugular vein. Injury to the nerve is unlikely without injuring one of these major vessels. Additionally, the dissection for a face or neck lift is not this deep. Suture placement, likewise, should not be this deep. Injury to the vagus nerve will affect numerous things, but noticeable to you would be a hoarse voice from vocal cord paralysis on the side of injury as the vagus nerve shoots off the recurrent laryngeal nerve that gives most of the movement to your vocal cords. I don't know what you have experienced but perhaps your should ask another question with your symptoms so we can better help you.