Hook’s Sword Has Some Inconsistencies

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In the middle of that dramatic duel, when Peter and Hook are fighting it out at Skull Rock, we all clearly saw how Hook dropped his sword because he was focusing on clinging on for dear life to the cliff.

But right as he fearfully notices the crocodiles swimming closer, hoping to get a pirate snack, the sword is right there again. It’s safely in his sheath. In another mistake from this movie, there is a scene when Hook’s actual hook changes from left hand to right.

Where did this sword come from? Did he have a second sword that we did not know about? And what about his hook? Is it at all possible that hooks can change hands?