The Equator is 2690 miles from Washington DC, but somehow the team can fly that distance in a day and be on the ship while the party is still going on. And Palmer is able to make the return trip with the body in the same day.
Torres is given 3 interns to 'show around' while Gibbs and the others were sent to a destroyers to investigate a death. Palmer went to the destroyer as well, which was heading in Southerly direction, which is evident from the 'crossing the line' ritual in the opening scene. Yet that same day Palmer and dead sailor are back in autopsy.
When two of the three teens are seen playing a shooting game, the light bars on their controllers are not lit up. In order for a PS4 controller to be connected and functioning properly, the light bar must be lit.
The opening sequence depicts a crossing-the-line ceremony, ostensibly on board an Arleigh Burke class destroyer. However, the superstructure when shown from the deck is obviously that of an Iowa class battleship, most likely USS Iowa herself, berthed as a museum ship in the port of Los Angeles, where the series is filmed.
Jack says that two sailors overdosed on the same ship in the same day. That was not possible. Since the team had flown out to the ship the same day Torres began mentoring, the first overdose took place on that day. Earlier, McGee and Torres were talking while going to interview the former shipmate and McGee told Torres he had only been mentoring two days, which was verified by Torres wearing a different shirt. The second overdose took place after that conversation, so the overdoses were at least a day apart.