When T'Pril enters Spock's quarters, a softened version of the Star Trek (1966) 'Combat Theme' is heard.
Mia Kirshner, who plays Spock's mother, Amanda, is only 11 years older than Ethan Peck, who plays her son.
Ellora Patnaik (T'Pril) and Gia Sandhu (T'Pring) also played mother and daughter as Deena and Alia Roy in The Woods Have Eyes (2019).
An advanced non-corporeal alien race identify themselves as being called "Blue" - this could be a reference to Douglas Adams' book "The Hitchhiker's Guide to the Galaxy", which referenced a "superintelligent shade of the colour blue"