Yamato might show his concern by constantly checking on Naruto's condition. He could be seen sitting by Naruto's bedside, feeling his forehead for fever regularly.
Yamato might first be a bit shocked. But then he'd probably try to calm Naruto down. He could use his wood - style jutsu to create a peaceful environment, like making a small forest around them to soothe Naruto.
Naruto might be in awe of the battleship Yamato at first. He could use his chakra to enhance the ship's speed or power in some way. For example, he could transfer some of his chakra to the engines to make it move faster.
Yamato's wood - style jutsu could be seen as a form of nature - based magic in the Devil May Cry world. He could use it to create barriers against demons or even trap them, much like how Dante uses his devil arms to fight. His ability to sense chakra might also translate to sensing demonic energy, allowing him to detect hidden demons.
Yamato might first try to use his calm and steady presence to soothe Naruto. He could place a hand on Naruto's shoulder and speak in a gentle voice, telling him to take deep breaths.
Weiss, with her more refined upbringing, could initially be a bit shocked by the differences in the Yamato's world but would soon start to find ways to use her skills. She might help with strategic planning, using her knowledge from Beacon Academy.
A simple way is to have Yamato train Naruto in katana - wielding techniques. Since Yamato is a skilled ninja, he could teach Naruto how to handle a katana, which Naruto might initially resist as he's more used to his own combat style. But as he learns, he discovers new ways to combine his ninjutsu with katana - based attacks.
The crew of the Battleship Yamato in a time - travel scenario would have mixed reactions. Some might be excited to explore this new world. Others would be fearful of the unknown. They would have to adapt to the new technologies or lack thereof in the new time they are in. For example, if they land in a primitive era, they would have to figure out how to survive without modern supplies. And if they land in a more advanced era, they would have to deal with the culture shock of seeing things far beyond their understanding.
It has been highly influential. It set a standard for space - based science fiction in Japan. Many subsequent works were inspired by its concept of a large battleship in space.