The error in part A is "me" should be replaced by "I". The general format when three persons are mentioned in a sentence is third person (he, she, they) followed by second person (you) and the first person (I). Here "me" is a possessive pronoun and it should be used to denote the noun and it cannot be treated as a noun itself so a nominative pronoun should be used here, thus the use of 'I' will be appropriate. Hence, the correct answer is option (a).
NOTE/-
Possessive Pronouns: The pronouns mine, yours, hers, his, ours, and theirs are known as possessive pronouns: they refer to something owned by the speaker or by someone or something previously mentioned. For example: The pen is mine.
The subjective (or nominative) pronouns are I, you (singular), he/she/it, we, you (plural), they and who.
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