Hi, I understand how you feel about the unfair treatment. In the real world, people are often frightened into making knee-jerk decisions because of false judgements and lack of understanding. It makes situations more difficult in life. I too lost a job once because of lack of understanding on my part, lack of communication between parties, and inability on behalf of the other party to deal with it. If you find an avenue to dispute it, and you feel strongly enough, that is, willing to keep working with those people, then by all means go for it. Sometimes just contacting them in order to clarify things, even if it doesn't get your job back, might make you feel a lot better and able to move forward sooner.

You made a mistake, so what! You learned from it. It happened in order to make you more aware that it is an issue you may need to deal with in more depth. And that's good. Sounds to me like you are capable. You hit a bump in the road. It happens. So, I do wish you the best and all my support if you want it.