Quincy prepares injections of morphine, the vial he is using says "Morphine Sulfate 10%", meaning 10% of the liquid volume is morphine and the remaining 90% is saline. However intravenous drugs like morphine are not measured via concentration, only chemical solutions like saline are. IV drugs like morphine use the unit of milligrams per milliliter (mg/mL) to indicate concentration & strength as it is a more accurate unit of measurement. IV morphine is commonly made in concentrations of 5 mg/mL, 10 mg/mL and 15 mg/mL for direct injection and 25 mg/mL, 30 mg/mL and 50 mg/mL for dilution.
Once again vaccination protocols are incorrectly shown. Dr. Scott injects the volunteers with the vaccine and then immediately after injects them with the virus. Vaccines do not work right away, it takes several days for the antigens in a vaccine to stimulate the immune system to produce enough antibodies for immunity to begin to develop. Most vaccines like the influenza, measles and pneumonia vaccine take about two weeks to achieve their full effect.
When Petty Officer Gibson dies during Dr. Scott's vaccine trials, Capt. Chandler comments that he wants her awarded the Navy Cross. While PO Gibson's act of volunteering for the trial is indeed heroic, the Navy Cross is explicitly reserved for heroism during combat action. As such Gibson would not be eligible for the Navy Cross. Instead the Captain would likely nominate her and other trial participants for receiving the Navy and Marine Corps Medal, which is the highest non-combat decoration awarded for heroism .
Early on when a sailor is being asked questions by the ship's "doc," she calls him sir. The "doc" is a chief, and any sailor who has passed basic training knows you never call a chief sir. Only commissioned officers are called sir.