MC isn't Sociopath nor Psychopath, more like Pragmatic
If MC sociopath,,
MC won't bother to have mutual relation nor actually get closer to someone and relate himself to someone
If MC psychopath,,
MC will kill his father without hesitation, MC will strive on martial arts rather than get into university, MC will violently do things
However the Girl is the problem,,
She's charismatic, manipulative, shrewd, ambitious, temper and egoistic
Unless Author decided to change her into Yandere,, then it'll be interesting turn