When Stewie first talks to the computer inside his spaceship, the screen next to the wire-frame of Peter's body reads, "I have absolutely no idea what is supposed to be written in this space, so I'm making something up. I hope they like it. 2030." It is only visible in this shot.
This is only episode to feature Carol's baby son. While Carol has appeared in future episodes, he has yet to make a second appearance it is possible that since Carol is divorced one of her ex-husbands likely have custody.
When Peter and Lois ask Quagmire to watch the kids for a few days, he starts to mention an obligation in accordance with Megan's Law before stopping himself. Said law is a federal statute requiring law enforcement authorities to make information regarding registered sex offenders available to the public so it is suggested that Quagmire may be a registered sex offender.
The computer in Stewie's ship is voiced by Majel Barrett, who voiced the computer in every Star Trek spinoff, starting with "Star Trek: The Next Generation" (1987). Seth MacFarlane, the creator of Family Guy is a massive Star Trek fan.
The song Stewie and Bertram use to make Peter cry is "Up Where We Belong" by Joe Cocker and Jennifer Warnes (1982).