"Put everything away" means to put everything back in it's appropriate place. To put things back to where they are supposed to be.

About The Weather

It has been pouring down since early this morning. I slept well thanks to the sound of the rain. I fell asleep so deeply that I'm still feeling half asleep. The weather forecast said that the typhoon would hit the mainland of Japan. I wondered whether(or "I wonder if") it caused this morning's heavy rain.
It has been cooler than usual this September. Autumn feels like it's around the corner. It's great, but I'm worried that the weather got a little topsy-turvy this year.

 

（ナチュラルの為の是正）

Well depending on the context it seems like it's playing with the phrase "make believe"(meaning "to pretend") and possibly "to make something you believe in" It's a bit of a stretch but yeah it seems like they're not using the phrase straight because of that period. The period, to me at least, seems like it implies that making and believing are two separate things being combined. This is not something intrinsic to a period though and requires a bit of interpretation. In any case "pretend," "fictional," and "phony" are not really the same. Only "phony" is negative, the others are neutral, and I don't think "make believe" is negative either. To me it is also neutral.