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.
Yes.
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.
If it is the word 'state' you capitalize the first 's' like this 'State'.
capitalize the letter:Place three lines underneath the letter that needs to be capitalized.
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."
Yes. It should be Peachy State.
yes
Yes.
Yes you should.
Capitalize the word state only when it appears after a state's name, as in "We will travel to Washington State this summer." (But make sure it won't be confused with a visit to the university known as Washington State. Perhaps "state of Washington" would be better.) In the phrase "state of Hawaii," you don't capitalize the word state. Finally, don't capitalize the word state when it's being used as a substitute for the state's name, as in "My father works for the state." It is capitalized, however, in imaginative names such as "the Nutmeg State," "the Empire State," "the Aloha State," and we capitalize "States" when we say things like "We're returning to the States after twenty years in Europe."