When Lt. J.G. Chung is talking to Lt. Commander Garnett she tells him that he might have to take over as Chief Engineer and that he is more than ready for the job. Chung replies that she is jumping the gun, and that "Cheng Chung sounds terrible". Cheng is a naval short-hand term for a Chief Engineer.
When discussing the best place to mass produce the vaccine they mention Fort Detrick and USAMRIID. Fort Detrick is a U.S. Army base located outside Fredrick, Maryland, it is chiefly known for being the location of the United States Army Medical Research Institute of Infection Disease. USAMRIID is responsible for researching and creating treatments for biological weapons, Fort Detrick is one of the most heavily secured installations on the world, it contains one of the only two Biohazard Safety Level 4 Containment Facilities in the country, the other being the Centers for Disease Control in Atlanta, Georgia. USAMRIID has samples of diseases like weaponized anthrax and smallpox, it has large underground facilities that contain these BSL labs and has its own independent power systems. It would indeed be the best place for developing and mass producing a vaccine in a global apocalyptic level pandemic.