Stewie doesn't write a book.
Brian however, is mentioned writing a book called "Faster Than the Speed of Love" in the episodes "Brian the Bachelor" & "Moving Out (Brian's Song)".
Carter gets it published in the episode "420" and it is mentioned once again in the episode "Dog Gone"
Stewie does however write a play that becomes a Broadway production in Season 11's "Brian's Play"
Stew-Roids
That would be Stewie Griffin: The Untold Story
I believe you are referring to the scene where Stewie thinks he sees Tom Bosley on the train in Season 3|Episode 20 Road to Europe
Stewie Loves Lois
Season 6 Episode 5: Lois Kills Stewie
Model Misbehavior
Brian tell Stewie the truth when they are stuck in the bank vault in the episode Brian & Stewie
the 100 episode was stewie kills Lois now the next one is Lois kills stewie
Season 8 | Episode 13: "Go Stewie Go"
season 2, episode 3 "da boom" where they all service Y2k and head to the twinkie factory. stewie is a squid in that episode.
What is the song that stewie griffin sings in the The Tan Aquatic with Steve Zissou episode?
Brian & Stewie's Emmy appearance & performance wasn't part of any Family Guy episode.