The correct answer is the following: option A. The error that is made in the sentence showed in the question is that the sentence lacks parallelism. Parallelism is a grammatical construction used to balance nouns with nouns, participles with participles, infinitives with infinitives, clauses with clauses, in order to promote clarity and readability to any text.
In the sentence "Either do well in school or giving up the drums" the writer did not use parallelism and as a result, the sentence is not clear enough. The proper way to write such sentence would be: Either do well in school or give up the drums, so that there is a balance between the tense of the verb used within the sentence.