Continuity mistake: The first time we see the pirates a group of them are doing dagger-throwing at a chalk drawing, but in the very first shot the drawing is missing.
Continuity mistake: In the scene where the crocodile attacks Hook at Skull Rock, there is a shot where the croc bites Hook's left foot and the shoe comes off, leaving Hook's left foot bare. In the shot with Hook wrapped around the croc's snout, the shoe is back on Hook's left foot and his right foot is bare. (00:44:50)
Continuity mistake: During the bomb present scene, Peter Pan's dagger is missing.
Continuity mistake: During the final fight, the sail is supported with two ropes and a pulley. Next shot, the sail is only supported with one rope and no pulley.
Continuity mistake: During the final fight, the Jolly Roger flag disappears and then reappears.
Continuity mistake: After Tinker steps on Hook's map and draws an X where Peter is, the X and the ink spots on the paper disappear.
Continuity mistake: When Peter is setting sail to London, the empty dagger sheath has disappeared.
Continuity mistake: During the final fight, Peter's dagger sheath disappears after jumping and then grabbing onto the rope.
Continuity mistake: After Captain Hook tricks Peter into promising not to fly, Peter's dagger sheath disappears after being pushed off the sails.
Continuity mistake: When we see Tiger Lily tied up to the anchor, the left side of the rope goes over the right side. A shot later it's the other way around.
Continuity mistake: After Peter Pan's dagger was thrown away, the dagger is back in its sheath.
Continuity mistake: Peter Pan's dagger is usually shown with a pommel, but after being caught by Captain Hook and thrown away behind him mid-combat, the handle has a different appearance.
Answer: In the original stage play by J.M. Barrie, he was a bank clerk. I don't think what he did for work was brought up in the 1953 film.
Bishop73