Final answer:
Without the context of the story, it's impossible to accurately say why Paul Kinkaid showed up at Sergio's home; it could be for a package delivery, a party invitation, to ask for a favor, or to apologize for a misunderstanding. The correct answer is A) To deliver a package.
Step-by-step explanation:
The question seems to be related to a specific storyline, and without having the context of the story, show, or book where Paul Kinkaid and Sergio are characters, it's impossible to state the reason why Paul Kinkaid showed up at Sergio's home definitively.
The options provided suggest different scenarios where Paul could have shown up at Sergio's home for various reasons, namely to deliver a package, to invite Sergio to a party, to ask for a favor, or to apologize for a misunderstanding.
In literature, characters often visit one another for such reasons, which drive the plot and develop their relationships. To answer accurately, one would need to refer specifically to the source material where these characters are from.