The private jet that William Shatner is flying on during the movie is a Bombardier XRS Global Express (model name changed to Bombardier Global 6000 after May 2011).
There was a series of books which had each of the captains walk through a door/portal that led them into a bar where they each spoke of the travails of being a captain, called "Captain's Table". Very interesting as how they created the entrance no matter where the captains were at the moment and captains could cross paths of past captains before they were or even ones past dead. But all captains, no matter the ship.