Reagan's robot is called "Robotus", which is a portmanteau of "robot" and "POTUS" (President Of The United States).
The machine Reagan is driving when yelling about time cards is a "loader" like the one Ridley fight the queen alien with in the movie Aliens
The episode's title refers to the infamous misspelling of the word "unprecedented", made by a former US president.
Glenn, the half dolphin, half man's rank is Corporal (E4), according to his rank insignia. Additionally, since his insignia lacks the crossed rifles of the Marine Corps, Glenn is Army.
Reagan tells Brett that "jet fuel can't melt anything". This is a reference to a debunked argument in favor of an equally debunked conspiracy theory that 9/11 attacks were an "inside job".