Yes, your problem is real. Yes, those are abuses. Your sister clearly has mental health issues but that doesn’t make the things she’s done to you acceptable. Doubting about whether the things they’ve been through are abuses or they’re the ones who exaggerating things, is a common behavior found in the victims of abuse. So does self-hatred. I suggest you see a therapist as you seem to need one. Hope you’ll get the help you need