In the story of the dog and the cat who fell in love. When the cat was cold, the dog would curl up around it to keep it warm. It was a really cute moment showing their love.
One cute moment could be when Saeran blushed as MC complimented his new haircut. Another time might be when MC tripped a little and Saeran caught her in his arms, their eyes locking for a moment in surprise and then laughter.
Toge Inumaki is important too. His special cursed speech ability makes him stand out. Also, the principal of the school, Masamichi Yaga, is likely to be important as he is in a position of authority and has an influence on Gojo and the other students. There could be other characters like the members of different clans that also play roles in the complex web of the story.
One cute moment could be when Naruto finally realizes Hinata's true feelings for him. In some fanfictions, it's shown through a gentle touch, like Hinata reaching out to hold Naruto's hand during a quiet moment, and Naruto blushing but not pulling away. This simple act shows their growing closeness.