Whew! You and your parents definitely need a “do-over”. Things have spiraled out of control, with intentions and communications getting so confused and confusing that everyone is reacting to each other’s reactions. No one seems to be able to pull out of it.
I strongly suggest a few sessions with a family therapist. No, I don’t think anyone has a mental illness (at least, not on the basis of what I read here) but I do think you all need help to step back and to learn how to communicate better.
The teen years are challenging for most families. Yours is not different. Getting things straightened out now will make the next 4 or 5 years go much more smoothly.
I wish you well.