no
Yes, you would put "Mayflower" in quotations because it is an actual name of a boat.
no
yes
yes
No, quotes are for quoted material only.
No, we do not put the title in quotations.
Yes, if you are writing a paper about a poem, you should still put the author's name in quotation marks when referring to the poem. For example, "In 'The Road Not Taken' by Robert Frost, the speaker contemplates choices in life."
That will depend on the style manual being followed. It is used for streets in some of them, but most just capitalize the street name.
Whenever possible, italicize novel titles. Otherwise, underline them.
yes if it is from someone elses work
No you don't, you can put the song title in quotations thought as a substitute.