The plane Rockford boarded was a Lear Jet 24 (N664CL owned by Clay Lacy). During the taxi down the runway it was not a Lear 24 (possibly a Cessna Citation or Gulfstream) and had a Canadian Maple Leaf on the tail.
The aircraft Rockford gets into and out of has a tail number of N664CL. The aircraft shown in flight, has a different tail number, N953GM.
The Lear 23 that Rockford flies in shows an agent standing straight up in the cabin. The Lear 23 had an interior dimension of 4' 4", much too narrow to stand up in.
A door between the cockpit and the cabin is shown. The Lear 23, which is what Rockford is shown flying in, does not have a door, it has a small curtain.
The luggage tag on Rockford's suitcase at the airport has 'JFK' on it, which is the international airport in NYC.