Yes, its a proper noun. Cheers :)
If it is a specific street name then yes it should be capitalized.
no!!
When it is used as a name of the theater, then it should be capitalized.
Yes.
yes
no you do not capitalize the names of trees
Yes because it is a proper noun. The actual street name is Third Avenue ... which is not necessarily the 3rd street in the city.
Yes; technically that would be 'Adams Street.'
Yes, if "Seventh Street" is a proper noun referring to a specific street name, then it should be capitalized. If you are referring to a general direction or street, then it would not require capitalization.
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.
No, street numbers are not capitalized unless they are part of a formal address or title.
Yes. 'Sun' is its name and you capitalize it just as you capitalize anyone's name.