The answer to your question would be option B. Hope this helps you and enjoy the rest of your day :)
In the sentence: " <span>Tiny Tim's father, Bob Cartchin, works for Scrooge." the appositive is Bob Cartchin because it renames Tiny Tim's father.
</span>Appositive<span> is a noun, a noun phrase, or a noun clause that renames a noun that comes just before them.
</span>In the sentence above, Tiny Tim's father was renamed by the noun "Bob Cartchin".