Lt. Soto asks Sonny to represent Bravo at General Quarters each day, which is not the correct term. General quarters is a condition on a warship and is only called in an emergency, it is another term for battle stations, general quarters is sounded when a ship is entering a combat situation or some other type of danger, it is a quick way to alert the crew to man their stations and prepare for possible combat. There is however something called Daily Quarters, which is a daily briefing held at the start of the day watch regarding shipboard activity planned for the day, this could be what Soto meant.
It has been months since Davis was promoted to Lieutenant Junior Grade, yet she is still wearing the rank insignia of an Ensign.