A bit of meta-humor: Aliquis' brother suggests that he not use a Pokémon after it's fainted in battle...which is exactly what you would do in a Nuzlocke run.
Episode 3
Poor Hohma can't keep up with Eri's training regimen. And Eri's enthusiasm for exercise in general, given that it's the first thing she thinks of when he claims he wants to join Team Star.
Doubling as heartwarming, Hohma and Quaxwell dancing together as they head back to the school.
Episode 4
The Gym Leader montage shows every Gym Leader being introduced by Iono, until she gets to Ryme, who apparently didn't want to show up a second time so her shot is just a picture of her on a CD.
Iono getting very tired of naming and introducing all the other Gym Leaders.