When Rakesh is asking Graham for information about Falken at the end of King's Gambit (2018), Graham states that he met Falken a few years ago while Falken was building a special computer. In WarGames (1983), (Dr. Stephen) Falken is the name of the reclusive computer programmer who developed the WOPR computer and named it Joshua, after Joshua Falken, his own deceased son.
Every episode, as of this posting, has had multiple lens flares. The lens flares usually occur behind an actor during a profound moment or reflection. In films and television shows, lens flares (especially high in the sky, but not exclusively) have traditionally been known to represent "divine presence" or "divine intervention".
Violett Beane also appeared in another Greg Berlanti production, portraying Jessie Wells AKA Jessie Quick in The Flash (2014).
The main character's first name, Miles, shares that character name with Joe Morton, who portrays his father here, but in Terminator 2: Judgment Day (1991), portrayed the character of Miles Dyson.