Concept:Use the correct correlative pair and the right pronoun case for the subject.
Explanation:The conjunction pair "neither ... nor" is the standard negative correlative.
Option B uses "neither ... or", which is incorrect because "neither" must be followed by "nor".
Option C uses "either ... nor", which is also wrong because "either" pairs with "or".
Now examine pronoun case.
This phrase acts as the subject of the sentence.
Subject pronouns are needed, so we use "I" and "he", not "me" and "him".
Option D contains "neither me nor him", which uses object pronouns incorrectly.
Therefore, the only correct completion is "neither I nor he".
Answer:A. neither I nor he