NTA- Sounds like your dad has little control over how things are going at work so he’s trying to compensate at home by being overly controlling and unreasonable to feel like he has some control over his life. In the process obvious that’s he’s failing either intentionally or not, to recognize how your mental illness can play into how you’re handling things.

It’s not uncommon for someone with mental illness’s environment to be messy because it’s just a manifestation of what they’re feeling inside. It doesn’t have to be that way and with help that can change, but your dad ripping the doors off and trying to shame you is pretty messed because you probably already feel shamed and though he can enforce making you just being messy isn’t the root of the issue so it will likely continue to be an issue.

Sadly in some cases people will use the mental illnesses of their sibling’s as a scapegoat so that they can be more under the radar with the parents instead of being more empathetic or a confidant. I’m sorry you’re going this way, but you teach people how to treat you, don’t feel bad for holding others accountable for being unfair.