Other mistake: Capt Cahill was declared dead after the helicopter he was in crashed and then taken captive. I spent almost 24 years in the military and know that if a body is not found, even though presumed dead, the official status is Missing in Action (MIA). The notification to Capt Cahill's family should have been MIA not dead.
Other mistake: At the very beginning, the first cut to Mr Lapadite he has an axe in his hand, ready to strike (and we heard two strike sounds before), but there is no log to cut. (00:03:17)
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Suggested correction: He is cutting the stump. We see him actively cut it too, not only ready to strike.