Chin Liposuction or Jaw Surgery?

There is difficulty in evaluating you with swelling present and a photo.  You should visit a Board Certified Plastic Surgeon, and then be evaluated correctly.  If the exam reveals there to be only skin under the chin, then a facelift of some sort may be indicated.

The problem that you have with your neck profile/angle is neither chin or jaw related. Your chin projection is actually about as much as you would want for a female but the tissues in the neck is your concern. This has a lot to do with your natural anatomy and the overall tissue components of your neck. Some options to consider is a slightly larger chin implant with submental liposuction or, likely to be more effective, is a submentoplasty (submental liposuction and platysmal muscle tightening) combined with a limited necklift (aka limited facelift or jowl lift) to try and achieve a better neck angle.

Thanks for the photos.  The sloping profile of your neck may be related to an anatomical structure known as a low hyoid bone.  This horseshoe shaped bone is the "rack" on which your larynx, or voicebox, is suspended.  The chin implant you had 3 years ago has done well to bring your chin profile into balance with your facial plane and nose, but the sloping neck under the chin is something of an enigma to many cosmetic surgeons.  I would consider a direct resection of the fat pad behind your chin point with a small skin resection to draw the "throat" into a higher position.  The contour improvement can be as impressive as your fingers are trying to show in the picture on the right.  Liposuction alone may not be able to be this aggressive.