“Krakens are capable of breathing air, water, magma, certain acids, and vacuum,” it replies.

"That was a genuinely useful answer. Well done, Su-Jin." They now know that the creature is called a Kraken, and from the sound of it, it can breathe just about anything short of solid rock. 

"Any other practical concerns?" 

"Can it fly," Kirill suggests. "Too big to haul." 

"Yes, I doubt it would fit in the cargo hold with much room to spare for cargo." Perhaps if all the tentacles curl up smaller than they look?

"Can you fly?" he asks the Kraken. His Kraken, and he's already warming to the idea despite the frustrations of trying to communicate with it. 

“Krakens may move arbitrarily while in even slight contact with water, ” so sayeth the Kraken.

"Well, that's useful."

Su-Jin starts making notes on the Kraken and its capabilities, jotting down ideas for experiments to try. 

Kirill loses interest and wanders off to get something useful done, muttering, "I want a giant monster pet, why does he get a giant monster pet..." 

As it is asked, so often it is given.

A dragon appears in the air above them; bronze-feathered, with scales like chocolate diamonds and eyes like stars and wiry horns, seemingly forged from copper. It flaps several times, and delicately lands on the deck. It isn’t terribly large- perhaps the size of a horse, or a crocodile- and it flutters happily upon seeing Kirill.

”I come,” it says, in a bright baritone. “I come, I come, and I arrive. Arrive from the Nebula Knight, who lit night skies with light, to endeavor to familiarize with the foreign Kirill, kind. “

Holy shit that's a dragon Kirill gets a DRAGON this is the BEST. 

"...hello. You got a name?" Also, is it amenable to petting? Because Kirill wants to pet it. 

“No,” says the dragon. It is amenable to petting! And actively engages in affectionate nuzzling! 

Kirill pets the dragon! It is the best dragon and this is the best day ever. 

"Want one?" 

It doesn’t seem to understand the question.

Kirill shrugs. "Names are optional." More petting!

"You're my dragon." It's halfway between a statement and a question. 

“Yes,” it agrees.

It seems to be capable of purring. It does so.

Excellent. Kirill will just be over here petting the purring dragon. 

Meanwhile: 

"Want me to go ask Arizvam about this? Your Kraken doesn't seem brilliant at explaining itself."

"That might be a good idea." 

Arizvam notices this! She doesn’t turn in their direction, or anything, but she doesn’t really need to, given her preferred method of vocalization.

“I am listening,” murmers the air. “No need go. What questions?”

"Suddenly-appearing talking animals!" Cas replies cheerfully. "What are they, why do they know our names, should we expect more of them...?" 

“They are familiars,” says the air. “Gods find interesting people, give people like them magic animal, people get animal and animal’s powers. Royal mages get royal familiars, nobles get noble familiars, then greater, common, lesser, descending order of power. Most people have lesser. I have royal, am royal mage, have country. Most people get familiars when new-hatched; other people, sorcerers, get two more when they do an interesting thing. Not know why you are getting them; might be interesting, might be new-hatched.”

"...there aren't any newborns on this ship; we're all adults. But so far it seems to be one familiar each, not two." 

(Su-Jin is quietly taking notes in the background.)

“Do not know, then,” sings the gale and breeze. “Do not have detailed notes on what happens with interdimensional visitors. Does not happen every shenday.”

...interdimensional. That could put a crimp in their plans for finding their way home. 

It's a good thing the Covenant is Casimir's home in all the ways that matter, but he knows some of the crew aren't so lucky. That's gonna be difficult to break to them...

"You said the familiars come with powers. What powers do they have and how do they work?" 

“Familiars grant mana, mana is used for thaumaturgy, thaumaturgy does whatever, very flexible. Familiars grant powers, powers depend on familiar type- krakens do water movement, water control, influencing minds, dragons do shapeshifting, star breathing, getting control over territories. I use shachihoko powers for speaking, use thaumaturgy for understanding speech.”

Her picnic companions have, at this point, noticed her zoning out. They don’t find this particularly unusual.