It can be made outside of Ky and still be called bourbon. I think it has to be aged in new charred white oak barrels. Mash has to be at least 51% corn. If the age in barrel is less than 18 months it has to be mentioned on the label. Bulleit Bourbon is made in IN. JD meets the requirements to be called bourbon but for marketing reasons is called Tenn. Whiskey.
No, according to its website, the Bulleit distillery is in Jefferson County, Kentucky.
I don’t believe that Jack Daniels is aged in charred oak barrels so it doesn’t qualify under the classic definition cited in an earlier response as a bourbon, but my understanding is that under NAFTA it is classified as a Bourbon.