Danny's uniform displayed an "A NEG" blood type patch in episode one, but changes to "A POS" in episode two.
When Lieutenant Green and Seaman Miller share a bag of chips at the end, Miller removes a bright orange Cheeto from the bag, but eats a pale yellow potato chip.
The helicopter that took off to investigate was a Seahawk with FLIR in the nose. Then we see a Blackhawk passing by. Blackhawks have their tail wheel at their tail while sea-hawks have it in the middle.
The woman that appears in the screens when Rachel is explaining the rules of the virus is the same that lays in the gurney when the team enters inside the hospital in Gitmo, later in the plot.
When crew is attacked refueling you can see they are at a small refinery. Theres no refinery at Gitmo.
If the disease is airborne and that virulent the soldiers should be in full NBC gear anywhere on the island as a matter of protocol. The virologist should have informed them of that. Also, any item or equipment should have been disinfected before being brought on the ship.
As previously pointed out only civilian vessels (usually large cargo and other commercial vessels) are given IMO numbers, warships and other military vessels do not have them. So Captain Chandler and the rest of the bridge crew should have known right away that the person speaking on the radio was not on the vessel she claimed to be on, since a British naval warship wouldn't have an IMO number.
Doc Rios confronts Quincy when he is below decks ready to pull the safetied Halon discharge pin and says that doing so would "flood the whole engineering room with poisonous Halon gas". Halon gas is extremely non-toxic, breathable, and one can inhale it without any adverse effects. It is so safe that it is used to fight fires in enclosed spaces such as aircraft cockpits, and there is not even a need to don oxygen masks in the cockpit before it is discharged. On the other hand, CO2 extinguishers, which displace so much oxygen that a human would pass out if it were to be discharged in an enclosed space, would require an oxygen mask to be donned before it was used. Doc Rios would be well aware of these facts.
Rios is the ship's doctor and chief medical officer, yet he wears the rank insignia of a chief petty officer, which is a non-commission officer rank. In the military a doctor is always a commissioned officer, as are nurse practitioners and nurses. Typically nurses are usually either an O-1 or O-2, which in the Navy is Ensign and Lieutenant Junior Grade. Mid-level physicians like physician assistants and nurse practitioners are usually at least an O-3 (Lieutenant), same for doctors. The chief medical officer on a larger warship like a destroyer is typically at least an O-4 (Lieutenant Commander).