Behind the bar where Beckett and Boimler hang out is a model of the Phoenix, Zefram Cochrane's first warp ship from Star Trek: First Contact (1996).
As Mariner and Boimler are being chased through the Starbase shops. Boimer shouts out each place they drive through. This is a parody of The Blues Brothers (1980). Jake and Elwood are being pursued through the mall by the Cops while making mentions about the shops.
The model kit of Deep Space Nine that Tendi gets for Rutherford is a "Quark" brand model.
The bar also contains a model of "The Guardian of Forever."
Malvus states that Mariner stranded him on Ceti Alpha IV, which is even worse than Ceti Alpha V. Ceti Alpha V is where Kirk left Khan.