Sentence Correction

Had the President's Administration not lost the vote on the budget reduction package, his first year in office would have been rated an A.

Answer Choices
A. Had the President's Administration not lost the vote on the budget reduction package, his first year in office would have been rated an A.
B. If the Administration had not lost the vote on the budget reduction package, his first year in office would have been rated an A.
C. Had the President's Administration not lost the vote on the budget reduction package, it would have been rated an A.
D. Had the President's Administration not lost the vote on its budget reduction package, his first year in office would have been rated an A.
E. If the President had not lost the vote on the budget reduction package, the Administration's first year in office would have been rated an A.

OA is eI will like an expert to explain the reason why E is the answer. But D looks cook though.