I would probably answer a little differently. Felix was his name. OR His name was Felix.
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Thinking Spainall the above, right?If the question has "was", the form in b) should be: It was Felix.
Thinking SpainWho did Adam work on important jobs with?This is borderline acceptable but awkward. "work with" is almost an inseparable unit, so "with" should be placed together with "work":