At the end of the movie, when Tom Hanks' character is in the park interacting with Cristina Marsillach's character, he has his duffel bag with him and leaves the park with it on his way to the plane. When he arrives at the plane boards, he no longer has his duffel bag with him.
The single seat aircraft Tom Hanks lands in Egypt is a P51 Mustang. This was not used by the Desert Air Force as it was too new and needed for bomber support over Europe. It should have been a P40 Kittyhawk (US Tomahawk). It could have been a Spitfire late in 1942 perhaps.