One post-op risk is a dangerous blood clot. Being immobile on a long flight increases that risk. Mention your travel plans to your surgeon. It is possible you might be put on blood thinners for a short term if the doctor thinks you need it.
I think that you will be feeling not too badly after 5 days, but will still be quite sore. I had a large cyst removed laparascopically as well and was very sore for at least the first 3-4 days and took a few weeks to feel completely back to normal. Hope this helps!