The Viridian isn't just a reference to Veridian III (note the spelling difference), but it's also the perfect name for a ship that serves the Emerald Chain. Viridian is a bluish-green color which is a perfect ship name for the Emerald Chain, a syndicate of the blue-skinned Andorians, and the green-skinned Orions.
Detmer and Ryn's attack pattern on the Viridian is remarkably similar to the maneuver known as "Hugging the Donkey" in The Orville (2017), a series to which Discovery is often compared.
The "sea locusts" that Book and Burnham walk through in the wooded sanctuary look exactly like the flying predators theorized in the Netflix series "Alien Worlds" - 3 balloon-like sacs that make it airborne and grabbing arms on the underside.
In the first scene when Tilly is updating Saru with her PADD, The writing is the right way round for the viewer, when they cut back its the right way for Tilly.