I have a slightly different take on this, with much overlaps.
A child from a broken home, so called “problem child” will more likely than not have a long list of issues. From my personal experience and in general, that would range from cheating, bullying, manipulating to more nefarious things like robbing, kidnapping and torture before the escalation to murder.
Its hard to imagine someone with that kinda chequered past to go unnoticed and would be even more harder for them to go back to normal or near normal since the stressor of the broken home still exists.
However I think you are on the right track. But changed the broken home to a very strict home, with a lot of rules. Rules to lead a perfect but heavily censored life. Outwardly for the killer, everything is fine but from the inside he is rebelling. He is the perfect age - old teen/young adult where a lot of rebellion usually comes.
So now, in his mind, he might have rationalized this family as the living embodiment of those rules, maybe as a surrogate for his own future if he followed all the rules that he was supposed to. And then he rebelled, by killing off that family, he was fighting back against the rules.
But in the process he got hurt, atleast significantly initially. He maybe realised the importance of those rules, or it became an act of preservation to abide by those rules for his own safety.
One consideration:
- that Mikio had mild OCD, is almost self-evident from his personality and interests. But I woke up with the idea that the killer had OCD, maybe in the form of nagging thoughts, and upon waking up, I think it might be true.
His handkerchief, prompting the idea of him being from the fish industry. Him covering his victims, maybe even symmetrical placement of them. I don’t think these were strict rituals, just idiosyncratic behaviors. It is hard to see “methodical” in the killer because the scene is disorganized, only there may be traits of organization there. The dude is a planner. Maybe these traces of sands mean nothing but traces of prior childhood OCD, when he was gathering sands.
I don’t know what role it plays, except for now, the man is probably showing traits of slight bipolarity and is irritated if things are not done according to his rules, which are not multiple, but definite.
Also: if he had an obsessive, perfectionistic, strict father, his hypercompensation would be in the form of being a stoic samurai. Who would he feel livid with? The person whose behavior would hint that he is anything less than a perfect macho. I am still thinking that he was targeting not family but Mikio. Perhaps he was angry afterwards, or angry with the mother standing up for her child, a woman resisting him, so it ended up looking this way. But initially, somewhere, somehow, Mikio showed that he was seeing him less than a man, maybe smiled, made a joke?
If we walk away from the base, if he was a waiter serving on Mikio during a company lunch, or a young member of a theater group, he could have misinterpreted something that Mikio had said.
And the perp was angry with own family, then, again, maybe in his eyes, it was less than a macho family. The father who, in his eyes, didn't quite follow the bushido (especially if the killer was obsessed with the bushido without having clear understanding what it was, an attempt to distance from the peasants, so IRL, circumstances-driven and flexible.)
I am even wondering, were Miyazawa a gentry in old Japan? Was that what he was looking for, some form of a family tree?
Off this track, and the question more to
@FacelessPodcast: if the perp was from the US, upon returning home, isn't it expected that he was briefly admitted to a psych hospital, a residential or such? It's dangerous to send him to a therapist but dangerous not to do anything, either.