When Jesus visits Jerusalem as a young boy, his family walks past the outer wall and travels past the crucifixion site where Jesus would be killed later in the movie. In this early scene, the crosses and scaffolding have already been set up with the same Roman guards who appear later in the film (set 30 years in the future) already posted by the crucifixion hill. Consider however, that crucifixions were a regular occurrence of the time, so this locale would have been established and regularly used. Anyone portrayed early and later in the film should have been shown to age appropriately given the passing decades.
The movie scripting refers to Pontius Pilate as a "procurator", a specific post that differs from the one that the Gospels imply that he held - prefect or governor. Historically, Pontius Pilate's title was thought to have been procurator but an inscription on a limestone block - apparently a dedication to Tiberius Caesar Augustus - that was discovered in 1961 in the ruins of an amphitheater called Caesarea Maritima refers to Pilate as "prefect of Judeaea". Archaeologists believe it to be genuine. In this instance, the Gospel account is supported by archaeology, since the surviving inscription discovered at Caeserae states that Pilate was prefect and the movie should have followed also as it is based on Gospel accounts.
Just after Jesus is baptized by John, in one scene it shows him walking up the hill with the lower 1/4 of his clothes still wet from him bowing down in the water. The camera shifts to view John watching Jesus walking away and then comes back to Jesus, but this time his clothes are completely dry!