Continuity mistake: Kowalski's uniform and hair are soaked after sealing the hatch from the hull breach, but his uniform is bone dry and hair properly combed when he immediately reports to the Seaview's Control Room.
Factual error: Captain Crane's periscope view of the boat accident survivor is an overhead and down view, while a real periscope view would be level with the ocean surface.
Visible crew/equipment: The boom mic's shadow is visible behind Riley as he speaks with Dr. Holden.