Answer:
The sentence that contains a mistake with the use of apostrophe is "The restaurants reputation and success depending on keeping a high healthy rating."
In this case, there are two possible answers to indicate a possessive case:
1) an apostrophe should be placed after the word "restaurant's" if it refers to one restaurant only
"The restaurant's reputation and success depending (depend) on keeping a high healthy rating."
2) an apostrophe should be placed after the word "restaurants' " if it refers to restaurants in general
"The restaurants' reputation and success depending (depend) on keeping a high healthy rating."
The rest of the sentences does not violate the rules of apostrophe usage.