The correct answer should be A. Whomever.
This is because this can be paraphrased as "the instructor has picked him" not "the instructor has picked he". Him corresponds to whomever while he corresponds to whoever.
Assuming first draft mean rough draft??
D
The answer is C, some activities clearly have more value than others
I'm assuming the underlined conjunctions are <em>both </em>and <em>and </em>(because you didn't underline any, and those are the only two conjunctions in the sentence).
Those conjunctions are called correlative conjunctions - this means that they are connecting two items which are equally important. So, this woman saw both Billie Holiday and Ella Fitzgerald - and both of those artists are important to the woman.