All words apart from articles, prepositions and conjunctions should be capitalized as with all titles.
However, it's important to remember that when someone opens a restaurant they can use whatever punctuation they want to. So, if you're referencing a particular restaurant then be sure to check the punctuation that is used - including capitalization.
I need to punctuate this paragraph before submitting it to my teacher for review.
Since Newsweek is the proper name/title of a publication, it should appear in italic letters as shown above when these are available, otherwise underlined.
It should be punctuated the same way you punctuate other quotations.
She asked her friend to punctuate her essay before submitting it for grading.
Opponents'
you wouldn't
Put the title in quotes.
The title of a newspaper article should be enclosed in quotation marks.
All words apart from articles, conjunctions and prepositions should be capitalized.
johnny rockets
No punctuation is required unless it's part of a title. If it is then each word apart from "the" should be capitalized.
Apostrophe
I will punctuate this sentence.
I need to punctuate this paragraph before submitting it to my teacher for review.
No it is not a rule. You should punctuate as normal.
Series titles should be italicized. To punctuate the "Twilight" series correctly, you would italicize the title of each book within the series. For example: Twilight, New Moon, Eclipse, Breaking Dawn.
On its own there is no need for it to be capitalized. However, restaurants might have 'restaurant' in their title. It should be capitalized in that circumstance.