The correct answer is “will have begun classes” but why cant it be “would have begun classes”?

2. “Nathanael West said that he never have written his satirical novel if he had not visited Hollywood.”

The correct answer is have written his, but doesnt that sound funny? I think the correct answer is “would have written his” but apparantly, the computer graded that wrong. I wonder why.

3.”They read where the governor has appointed a special committee to improve the school calendar. ”

The correct answer is “that of where”. Can it also be ” of where”???Because it was graded wrong but intuitively it sounds correct.

4. “Last summer I worked in the chemical laboratory at the Brass Company; most the work came into the lab for testing marked with the words top priority . ”

That apparantly is already correct, but why is it not ” the words : top priority”???