When Peter lands the jet and it comes to rest at the end of the runway, all the passenger windows are missing.
In the opening scene after the rednecks have been announced Brian and Peter are talking. In one shot, the man behind them has a mustache that disappears in the next shot.
When refueling the plane, the men are under the left wing of the plane, all larger planes gas tank access are under the right wing
A pilot doesn't lose his job for crashing a plane unless it is his fault and this accident was Peter's fault. Peter should have been prosecuted as well.
When Quagmire is talking to the passengers over the PA, the image is of a narrow-body (single-aisle) aircraft. The aircraft is mentioned to be a Boeing 767, which is a wide-body (twin-aisle) aircraft.
The airplane Quagmire has to instruct to land at the end of the segment uses jet engines, yet the engines are clearly making the noise of propeller-driven propulsion (although this is possibly a deliberate reference to the film Airplane! (1980), in which the same thing happens.)