When Briggs pulls out his gun to threaten Kate we hear the sound of the pistol's hammer being cocked back , yet the hammer remains closed the entire scene.
When Kate is first shown in the hospital (about 1 hour,39 minutes) her nasal cannula is laying loosely on her face. A moment later, when the scene cuts back and she regains consciousness, it is properly tucked behind her ears and secured under her chin.
Captain Camp would not have been at the helm while his ship was passing through the Panama Canal. Panama Canal pilots take over the ship during passage.
Ships of these dimensions have a fixed propeller and not a Controllable Pitch Propeller.
During the freighter crash there is prop wash which indicates the boat is under power. The alleged problem would not preclude stopping the engine and propeller.
It is unlikely that customs agents would not discover the "tarp" to be the stolen Jackson Pollock painting, especially with the increased scrutiny of the ship having arrived from where it was just stolen in such a high-profile robbery.