This sentence is messy, as well as a run-on. Here's a revised version:
"It becomes easy to gossip among the office, but remember; it is just as easy to keep it a secret!"
There is proper punctuation added to make it easier to read. It also adds personality and emotion to the sentence. Try reading the two aloud and compare them. You can make changes to it if you feel it necessary.
I would think it's "rejection of enlightenment ideas"
Hi, the correct option would be the third option - "the keys on the kitchen counter are mine". In all other examples "on the kitchen counter" has an adverbial meaning, and the third example is the only one where this phrase is used as an adjective.
a page of the book is torn