Professor insinuated that I cheated throughout the course!!?

Why were you not told that the quizzes were missed before you got to the end of the cl? That makes no sense! They would allow you to continue in spite of the fact the quizzes were not received? Something is screwy here. There must be some record of your quizzes somewhere if you took them. I would see if there is someone besides the teacher you could talk to about it.