When Kendra finds Ray going into cardiac arrest, Gideon mentions his chances of survival are 3,720 to 1. These are the odds for surviving an asteroid field as given by C-3PO to Han Solo in Star Wars: Episode V - The Empire Strikes Back (1980).
Rip Hunter mentions the name Kanjar Ro; this is an alien dictator of the planet Dhor and the enemy of Green Lantern.
At 13:40 when Dr Stein says " Great Scott" he says it much like Dr. Emmett Brown's tagline in the "Back to the Future" franchise.
When Mick Rory says to Jon Valor "do I look like a time lord" Valor replies "you look like a man who'd throw his grandmother out an airlock". In Battlestar Galactica Callum Kieth Rennie plays a Cylon called Leoben Conoy whom President Laura Roslin puts out an airlock.
Dr. Stein mentions being inspired by reading the adventures of Rick Starr, Space Ranger as a boy. There was a series of science fiction stories written by Isaac Asimov in 1951 called The Lucky Starr series, the first novel of which was titled "David Starr, Space Ranger."