That's a tricky question because while a "siesta" is indeed a nap that most do, it is not only done in the USA. So I would have to say the answer is TRUE if I were someone living in the USA. Hope that helps!
"Ti" would be you as the object. Mainly after prepositions, "ti" is always used (por ti, para ti, a ti, etc.). "Te" is also for a direct/indirect object and is used when there's no preposition.
