Bones

Captain Blake: We passed the point of no return fuel-wise 23 minutes ago. Bones: The polar route takes us over Greenland. Can we land there to refuel? Greenland is much closer to the U.S. than to Shanghai, and if the plane hasn't even passed Greenland yet, there's no way that it could already be past the point of no return fuel-wise as the Captain states. Also, while the polar route would indeed take the plane somewhat near Greenland, the plane would not be over Greenland, since the country is east of the U.S. and the plane is heading west towards Shanghai. Bones should have said "near" instead of "over".

This is the second time Sweets says he's going to sing "Lime in the Coconut" at a karaoke bar. The first time was in the episode "The Wannabe in the Weeds" (from season 3) when the whole gang gathered to listen to Bones sing "Girls Just Want to Have Fun."

The aircraft shown landing in Shanghai was a Boeing 737-100/200 series - a short to medium range narrow-bodied aircraft. Maximum range for this aircraft is approximately 2,000 miles. The distance between Washington, D.C. and Shanghai is approximately 7,500 miles, therefore the plane could not have been used to take them to Shanghai.

After Sweets refers to Bones as "the cat" Cam corrects him by telling him that she in fact is the cat. Oddly enough, Cam has a cat brooch pinned to her shirt in that scene.

Booth says that Brennan is going to help the Chinese government identify remains and that, "I must protect the proprietary American technology Dr. Brennan will be using." While this is not explicitly stating that Booth is on official business, assuming that he is, government employees traveling on official business are allowed to fly business class on international flights. If business class is not available, then they are allowed to fly first class. Therefore, Booth probably should have been in first class with Brennan for the entire flight.