That's correct, it's option D) Both A and B.
Option C looks incorrect due to the misuse of punctuation. Since the conjunction "and" was added, there is no reason to use a semicolon before it in this situation.
Option A uses correct punctuation, comma, before the conjunction "and". Let's keep it in mind that it is a conjunction's role to connect two sentences in order to form a compound one.
Option B is also correct because, even though it does not use a conjunction to connect the sentences, it uses the semicolon to indicate the sentences are related, that their ideas are connected.
