I am very sorry you experienced this. I am glad to hear that you do trust the memory of these events happening. The bottom line is that parents are responsible for caring for their children in an appropriate fashion. Screaming, yelling, hitting, throwing, dropping, are NOT behaviors that are ever acceptable examples of how to care for a child.
All children will sometimes act childish - they're children! - and all children will sometimes misbehave. I suspect your behavior was normal. However, even if your behavior was completely over the top out of control, it would have been your parents' responsibility to make sure you received appropriate medical and/or psychological care, while educating themselves on how to best care for you. It would have still been no excuse for abusive behavior on their part.
If you take yourself out of the equation, would you still make excuses for them? If it was some other little girl in the scenario you described above, would you think it was okay for the dad to treat her that way?