Clarke's Third Law: Coming from a culture without indoor plumbing, both Hiccup and Valka presume the "white bowl" that "scream[s] at you" when the lever is pulled is magical. Considering that the house is alive though, is just might be.
Erotic Dream: Implied. Whatever Hiccup was dreaming about, Valka definitely regrets hearing it.
Hiccup: ...Woah, Mira... we're not supposed do that till... we're married...
Freudian Excuse: Bruno explains that part of Julieta's animosity towards Valka comes from feeling like she was neglectful towards Mirabel during all those years of alienation for not having a gift and that she was projecting some of this onto her.
Like Parent, Like Spouse: Valka assuming Casita will eat her is word-for-word the same as when Hiccup assumed it.
Valka: We have to go, now! Before it devours us! Hiccup: Casita's a house, mom. It can't eat you... Valka: A-And how do you know? You said it was magic, it could eat someone!
Mythology Gag: The text claims that Julieta's glare can "crush mountains, level forests, tame seas."
When Valka overlooks her formal greeting with the Madrigals in favor of bonding with their dragons, Antonio (being the "Animal Guy") completely gets it.
Antonio: Honestly? I kinda relate.
Valka realizes that she has a lot in common with Bruno; the both of them left their families out of the belief that they would be better off without them.
Pepa'a Skrill Moody is known for being the Madrigal's least cooperative dragon, acting hostile towards everyone else and usually ruining many a family meal whenever he shows up. So it comes as a special surprise when Valka manages to tame and pacify him within only a few moments of meeting him, snuggling up to Felix as though he was his rider.
While Julieta is (arguably) the least hostile of the Madrigals, here she has nothing but hostility towards Valka for abandoning her son.