You don't, you italicize them.
Quotations for article titles. Italics and underlining are for full books - and the titles of journals.
Yes, if you use the name in a report or essay.
Yes they are.
Neither, they're italicized.
Typically, it is only titles of works that need either underlining italics, or quotation marks. Titles of groups are just proper nouns, so they'll just need capital letters.
Whenever possible, italicize novel titles. Otherwise, underline them.
Put the titles of short works, such as (most) poems, short stories and articles in quotes and 'stand alone' works in italics.
No. Only titles of words will require quotations around it.
The correct usage for your report will depend on the specific style manual being followed. It is used for speech titles in some of them, others use italics or underlines.
You use quotations for short stories, poems, article, and songs I believe. Everything else is underlined.
You should not use quotations when you are paraphrasing information or providing your own analysis or commentary. Additionally, avoid using quotations for common knowledge or well-known facts that do not require attribution.
Names of authors - of songs, books, articles, stories and so on - should be written out in plain type. It is the titles of works that should be italicized (or, if italics are not available, underlined).