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troperville

After the devastating failure of the invasion, the gang and their remaining allies need a place to shelter, so Aang takes them to the only safe haven he can think of; The Western Air Temple. They know they have to re-group and think up a new plan for defeating the Fire Nation, but Aang doesn't seem to want to talk strategies: after another failure, he finds himself trying to escape his responsibilities. The fact that he still needs to practise Earthbending and begin Firebending also hits him full in the face, especially considering that there's no one to teach him.

Good thing that Zuko's changed sides and willing to help him, right? Wrong—the Gaang are none too eager to trust him, and the runaway prince must convince them otherwise.

Tropes:

Adorkable: Zuko gets some major cuteness points here.
Answer Cut: When Sokka muses that there has to be someone who can teach Aang firebending, it cuts to Zuko practicing his speech to the gang.
Awesomeness by Analysis: Sokka gets this more often than anyone in the series by virtue of being a Badass Normal and The Smart Guy, but he gets a really good one here by calculating the exact angle he needs to throw his boomerang and hit Combustion Man right in the third eye.
Bizarrchitecture: The Western Air Temple is hanging upside down from a cliff.
Chirping Crickets: Done with a badgerfrog.
Declarative Finger: While Zuko is doing an Uncle Iroh impression.
Digging Yourself Deeper: Yeah, Zuko, mentioning the assassin you sent after them was not a good idea.
Flashback
Flashback With The Other Darrin: There are two flashbacks of Season One Zuko and Iroh, but Iroh is voiced by Greg Baldwin, since Mako had died.
Heel Face Revolving Door: And Zuko discovers that the door can hit you in the face, hard.
Heel Face Turn: Technically it happened in the last two episodes, but it's nice to see it sticking.
Ice Cream Koan: Zuko fails at mimicking his Uncle's proverbs. (Although what he comes up with actually makes some sense, given what he's gone through.)
"Even when I'm impersonating him I have no idea what he's saying!"
If You Ever Do Anything to Hurt Her...: Non-romantically - Katara uses this on Zuko regarding Aang at the end of the episode.
Ironic Echo. From the flashback.
Zuko: The only way to regain my honor is to find the Avatar.
Kubrick Stare: Katara also uses one of these.
Licked By The Sky Bison: Appa licks a reformed Zuko to show he likes him.
Reformed, But Rejected: Zuko gets this treatment until the end of the episode, at which point people begin to relent. Except Katara, who keeps it up for four more episodes.
Spell My Name with a "The": The Duke
What Would X Do?: Zuko asks himself what his uncle (and, for the sake of argument, his sister) would do. (Complete with impersonations of both. He does a dead-on Iroh.)