Continuity: When the troop is having a rest, Cooper says "I have a cracking story about this place". Joe is sitting with his hand in a paper bag. When it cuts to a close-up of him, he is resting his hand on his waist.
Factual error: When the house explodes, the only survivors were Private Cooper and the dog, who were hiding in the cellar. With an explosion big enough to destroy the house, the cellar would have been destroyed too, if not from the fireball then definitely from the shockwave.