Another fictional hawk could be 'Hawkeye' which is a name that can be associated with a hawk - like character. It gives the impression of a character with sharp vision and a focused, predatory nature, much like a real hawk.
Yagami was the protagonist of the Japanese suspense manga Death Note. He was the son of the police chief, Night God Soichiro, and came from a wealthy family. In the manga, Yagami was portrayed as a perfectionist with a beautiful appearance, all-rounded sports, excellent acting skills, and strong psychological quality. He had superior intelligence and malice, and was considered a perverted criminal. Night God Moon's abilities included an excellent mind and a stable mind. He could design a plan to drive a wedge between the police and the enemy, and he could remain calm while processing a large amount of information. He pursued a new world without crime, believing that the world was decaying. Night Goddess Moon's personality and fate were deeply explored in the Death Note. He was a well-loved character because he represented the possibility of indulgence, but he also experienced many failures.
The Hawks' back story could involve their origin as a sports team. They might have started in a particular city with a group of passionate players and investors. Maybe they were initially part of a smaller league and then grew to be in a major one. Their name could be inspired by the characteristics associated with hawks, like speed and precision.
One aspect to consider in Hawks x Dabi fanfiction is the dynamic between their personalities. Hawks is often seen as more of a hero with a sense of duty, while Dabi has a darker, more rebellious nature. In many fanfictions, their interactions can range from intense rivalries to unexpected alliances. For example, some stories might explore how Hawks, with his loyalty to the hero system, might initially view Dabi as a pure villain. But as the story progresses, they could discover common ground or shared experiences that bring them closer together.