Gary Coleman asked for and received his spacesuit costume at the end of the episode's filming. Coleman later wore the outfit in an episode of Diff'rent Strokes (1978).
Many of the villain's henchmen wear modified Colonial Warrior costumes, reused from Battlestar Galactica (1978).
Buck mentions the music playing in his apartment is Three Dog Night but not the song title. The specific song is "Shambala" from the album "Cyan" (1973).
The plot was written primarily as a promotion for Gary Coleman, who was then becoming a rising child actor star after appearing in Diff'rent Strokes (1978). Many of the mannerisms and habits of Hieronymous Fox, including his desire to eat burgers and his general antics as a "cute kid", are highly similar to Coleman's character of Arnold Jackson.
The scooterbot in which President Hieronymous Fox escapes his prison is the very same prop in which Joey Cramer (David Freeman) escaped from the NASA lab in Flight of the Navigator (1986).