It sounds to me like this was the tow truck drivers fault. If a portion of your car was in a lane stopped. You owned the lane. He had a duty to stop until you got out of the way.
Some of your problem may be that you are verbose and people might not understand what you are trying to say.
I would fight the citation, and any liability on this one. It sound to me like the tow truck was in a rush and thought he could get past you.
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