Yes.
Yes, "State Street" should be capitalized because it is a proper noun referring to a specific street or location.
When it is used as a name of the theater, then it should be capitalized.
yes
Yes; technically that would be 'Adams Street.'
Yes, its a proper noun. Cheers :)
If it is a specific street name then yes it should be capitalized.
The "Texas State Government" is a noun, and it is proper to capitalize it. Just as you would capitalize the name of a person.
Yes, always capitalize a state.
No, street numbers are not capitalized unless they are part of a formal address or title.
If it is the word 'state' you capitalize the first 's' like this 'State'.
You capitalize the "s" for state when you referring to a specific state or state agency; State of Texas or State of Maine or The State Dept. of Health. You don't capitalize the "s" when the word state is used in general terms; the states with the largest population or the western most state.
You capitalize state trooper only when it specifies a particular state trooper as in the statement: "Andy Falcon, State Trooper, stopped the mayor for speeding."