Thanks for the D2D. Jaw surgery is generally a safe procedure and serious complications arising from the surgery are not common. You can refer to this question: “What are the risks of jaw surgery?”, for the list of short and long term risks of a jaw surgery.
Immediately after the surgery, bleeding, swelling, soreness and numbness is expected. These are not complications.
Bleeding in the mouth (operation site) or nose may be observed for up to two weeks. Swelling and bruising should take about one week before it starts to reduce. If you feel that there is excessive bleeding or your discomfort is persistent, do let your oral surgeon know.