Can  I get uhhh old AU from my first go at the BNHA fixation in 2018/2019? Basically where I grab Tamakawa (the cat headed officer) by the neck and give him a family, a personality, and then basically push him to the side for the most part 

I won't get v much into it but Inko is Tamakawa's brother; the cat head gene is a sort of vestigial mutation; it's attached to the X chromosome so it's a lot harder for the women in the family to inherit.. but not so hard for the men, even indirectly. Izuku inherits the mutation that skips his mom but that Takamawa has! Giving him a cat head.

He is also distantly related to Tokoyami in this, which is something he puzzles out within like weeks of meeting the guy. Much to Tokoyami's shock. 

Izuku inherits the main quirk from his father- firebreathing. However, until a certain age he's only able to create small sparks and smoke.