Should I report this job the fired me for no reason and treated me unfairly?

Contrary to popular belief, an employer can fire you for any reason or no reason at all. (Except in Montana.) The only thing that prevents this is either a personal contract or a union. You did not fit in so they let you go. You can either P+M about the whole thing or more on and find another job. I would just let it go and go find another job.