The giant's appearance is based on that of co-creator Dan Harmon.
The device that Morty was holding at the beginning of the episode closely resembles an NES game cartridge.
Meeseeks is based on the concept of Genie from Aladdin (1992). Similar to Genie, Meeseeks is of a blue color, "trapped" in some kind of a container and fulfills the wishes of a person who lets him out.
The name of this episode exist as the military term "seek and destroy", a mission where the objective is to both locate and destroy a given target.
When first airing in the UK on Fox, the episode was met with a lot of hate. Due to the Jimmy Saville scandal still making headlines. And how the attitude of the two men at the end was to cover up Jellybean's vile crimes, mirrored the attitude of those who did so to hide Saville's crimes.