Plot hole: An important plot point (in the book and the film) is that Charles Calthrop - thought to be the Jackal, at that stage - played some mysterious part in the 1961 assassination of Rafael Trujillo, the dictator of The Dominican Republic, and rumours of his involvement came to the attention of MI6 and Special Branch, leading to the accidental exposure of the Jackal's false passport. In fact there is no mystery at all about the assassination of Trujillo and there were no shadowy foreigners involved. It was organised by Trujillo's own senior aides, amongst them General Juan Tomás Díaz, Antonio de la Maza, Amado Garcia Guerroro and General Antonio Imbert Barrera. The gunman was later identified as Luis Aniama Tio. All the conspirators except Tio were arrested, tortured, and shot. There was no panicked evacuation of foreigners who were involved with Trujillo's regime, and no reason for them to be concerned - the government did not fall and Trujillo's brother Hector took over as President, ruling in a brutal and totalitarian manner for a further eight years. Any rumours of a mysterious Englishman would have been dismissed out of hand and would not have made it onto even the lowest level filing system anywhere in Whitehall.
Plot hole: When the French conclude - incorrectly - that Charles Calthrop is the Jackal, they contact the British authorities and obtain his file photograph from the passport office. The photograph is of Edward Fox in character as the Jackal - but it shouldn't be! The Jackal and Calthrop have no connection. The Jackal never used his identity and did not apply for a false passport in his name. The photo should have been of Edward Hardwicke in character as Charles Calthrop, who appears in the closing minutes of the film. The two actors do not look anything like each other.
Plot hole: When the Jackal is stopped at the French border, he is sent to a room with dozens of blond guys who look like him. Despite this, he does not consequently act as if they are looking for him. As if he does not suspect the Police are looking for him, he goes into a hotel and checks in with his current name.