During the scene showing the destruction of the Enterprise from Star Trek III, the registry number marks the Enterprise as its successor the NCC-1701-A. It should have just read "NCC-1701" since it was the original Enterprise that had had a major overhaul.
This episode takes place from 2266 to 2285.
Kirk R. Thatcher previously worked on Star Trek IV: The Voyage Home (1986) as producer, whale puppeteer, and the punk on the bus famously neck-pinched by Spock.
This is the first animated "Star Trek" production since The Counter-Clock Incident (1974) 45 years earlier.
This short contains references to Space Seed (1967) (Kirk and Khan talking in sickbay), The Trouble with Tribbles (1967) (a group of tribbles fall out of a hold), The Naked Time (1966) (Sulu swordfighting), Who Mourns for Adonais? (1967) (giant hand in space), The Doomsday Machine (1967) (the titular machine), The Tholian Web (1968) (the web), The Savage Curtain (1969) (Abraham Lincoln), Star Trek II: The Wrath of Khan (1982) (Enterprise fighting Reliant), and finally Star Trek III: The Search for Spock (1984) (Klingon Bird of Prey and destruction of the Enterprise). These are shown in mostly, but not completely, chronological order.