For a more defined jawline to strengthen your profile (and help prevent the dreaded jawline "jowl" sagging), we use injectable fillers like Revanesse Versa - a filler known to limit swelling and give subtle, soft enhancements - or Radiesse. Using a cannula to limit pain and swelling, we inject...
Studies have been done suggesting facial surgery under local anesthesia has an exceedingly low risk of PE/DVT blood clots. Unless there are other medical issues or histories to suggest otherwise, your risks should be very low, essentially baseline for a two hour flight. More about the cabin if...
You should see the original plastic surgeon to assess the area and discuss your concerns. Once you have spoke to the original surgeon you can seek out another board certified plastic surgeon for a second opinion / assessment. It is hard to tell from the photos and without a physical examination...