If you have a write up and suspension in the file, they'll probably be able to make the 'fired for cause' stick. They'll argue that they tried progressive discipline. Take comfort in the fact that the contested hearing will probably cost them more than you getting one week's unemployment will.
Thanks for info. Yes, they had progressive write ups as I tried to defend myself. One write up was for stepping on quotes. I was learning the system and previous quotes were hard to see on the software. It wasn't on purpose. Other new hires do the same thing. None were written up or suspended. Another software program created some kind of glitch which the company claims kept others from quoting. Was never clearly shown to me. Others made the same mistakes, but were not written up nor suspended.