Thank you for your question and I'm sorry to hear about the issue you are having. As you have indicated, it looks like the skin has stuck down to the cartilage. In order to try to help improve this, it may require a revision surgery where muscle and fat is brought in from the sides of the neck...
The parotid grand is on the side of the head. It is not underneath the jaw, for the most part. There are some cases where it could extend lower, but it is not usually necessary to contour it. The submandibular glands are under the jaw and they sometimes fall. Those can be tucked or removed.
Thank you for your question. A scarless approach to reduce the Adam's apple is possible via an incision in the mouth. I use the same incision to simultaneously perform the chin/jaw reduction and the tracheal shave. I was the first in the US to publish this technique and have extensive experience...