At this point, I honestly don't see how Inuzuka has a chance of being head prefect since the majority of students in the Black Dogs don't seem to respect him. Also, while I see why Hasuki wants to be a prefect, I'm confused as to why she wants to take the title of head prefect away from Inuzuka (unless I'm missing something). She clearly admires Inuzuka, both professionally and romantically, and seemed to dislike the fact that the Black Dogs started treating Inuzuka like dirt after the sports festival. I don't see why she would want to get in the way of Inuzuka's attempts to regain the respect from the other students, like how she (unintentionally) took the credit for leading the house cleaning away from Inuzuka in this chapter. She couldn't even give Inuzuka some praise in front of the other students?
Also, Happy New Year!