( ) = prepositional phrase
{ } = object of preposition
1. ( in {Oregon}, ) it can be quite rainy ( along the {coast}. )
2. Everyone (from the {city} and {suburbs}) should vacation (in the {countryside}) (during the summer {months}.)
3. I have never seen a wild bear outside.
This sentence does not contain any prepositional phrases, regardless of the word, "outside," because nothing comes after it. For example, if said, "outside of Kentucky," then it'd be a prepositional phrase, Kentucky being the object of preposition.
4. Johnson ran (over the {hill}) (near the grocery {store}) (on his {way}) (to {school.})
If you’re asking if Odysseus is left inside then yes that would be correct. However if you’re asking what he does next that’s a different story. Your question is mildly unclear. If you could clarify i would be happy to help.