When Pam breaks the com-link and says, "Boring conversation anyways", it's a reference to Han Solo's line in Star Wars: Episode IV - A New Hope (1977).
The space bot is the same machine used to move items and fight the queen xenomorph in Aliens (1986).
Lana shooting a hole to the garbage chute for their escape is a reference to Princess Leia doing the same in Star Wars: Episode IV - A New Hope (1977).
The sound that is made when Archer almost causes the rocket ship to crash is the same sound that is made when a door is opened in the 1993 video game "Doom".