Answer:
prepositional phrase: of our guests remained. preposition: of. object of preposition: one
I'd go with B - Article. There are hundreds of good examples for the answer being B. For example, "a book" ('a' is an article - 'book' is a noun), "an apple" ('an' article - 'book' noun). Those are just the simple ones.
Answer:
Jay was too sick to play basketball, so he and I played video games instead.
Her success and what she is best known for are the main topics of the paragraph. So, Answer A would be your best bet. It covers all of those points.