In the following sentences, what are the prepositional phrases and what are the objects of a preposition?

A Large crowd has already gathered outside the courthouse.
-- The noun "courthouse" is the object of the preposition "outside".

All pest control products will be on sale for the next two weeks.
-- The noun "weeks" is the object of the preposition "for"
-- The noun phrase "the next two weeks" is the object of the preposition "for".

According to Tom , the picture of the governor in the newspaper was not flattering.
-- The noun "Tom" is the object of the preposition "to".
-- The noun "governor" is the object of the preposition "of".
-- The noun "newspaper" is the object of the preposition "in".

The jeweler showed the beautiful pearl necklace to Luisa.
-- The noun "Luisa" is the object of the preposition "to".

Is their plane supposed to take off at noon?
-- The noun "noon" is the object of the preposition "at".

Tourists may pick up a free city map at the visitors center.
-- The compound noun "visitors center" is the object of the preposition "at".

The harvest festival of Sukkot begins five days after Yom Kippur.
-- The proper noun "Sukkot" is the object of the preposition "of".
-- The compound, proper noun "Yom Kippur" is the object of the preposition "after".

At the Chaco Culture National Historical Park are numerous prehistoric ruins of the Anasazi.
-- The compound noun "Chaco Culture National Historical Park" is the object of the preposition "at".
-- The pronoun noun "Anasazi" is the object of the preposition "of".

Can begonias and geraniums be grown outdoors in containers?
-- The noun "containers" is the object of the preposition "in".

If we don't leave right now, we'll be late for the movie.
-- The noun "movie" is the object of the preposition "for".