When the Bad Batch lands on Kamino, the same music plays as when Obi-Wan landed on Kamino in Star Wars: Episode II - Attack of the Clones (2002).
Tarkin tells Admiral Rampart to destroy Tipoca City, stating "you may fire when ready". This is the exact phrase Tarkin uses to order the destruction of Alderaan and the Citadel Tower facility on Scarif while in command of the Death Star in Star Wars: Episode IV - A New Hope (1977) and Rogue One: A Star Wars Story (2016).
The Aurebesh text seen on the console inside the Havoc Marauder at the start translates to : "Hunter" and "device connected".