I'm in the process of submitting a request for a late assignment's grade to be re-evaluated. Is it more appropriate to use the word "contest," "contestation," or another word in this context? For example, one would refer to the situation as a "late assignment contestation" if that was the appropriate word. I feel that "late assignment contest" doesn't seem appropriate, since to me that would connote some kind of sporting event.
Aren't you looking for appeal (MW, definition 2a)
an application (as to a recognized authority) for corroboration, vindication, or decision
You could use it as follows:
I want to appeal this grade.
I am filing an appeal to have the grade for my late assignment revised.
I appealed to the Dean to have my failing grade reconsidered.