First off hugs. It sounds like you were not feeling supported by your family and it was a struggle to cope with what they were telling you. I don't think that your actions were unforgiveable, and I hope that you were able to resolve the situation with your family and possibly get some additional support from the doctor.
Much of my rage has been triggered, and it is next to impossible to get empathy from my family of that fact. Similarly, I try not to condone my acting out but yes it is hard to feel unsupported.
What would you view as supportive/ support for yourself from your family?