There is no room for a fifth option of Jesus did not exist, I am limited to four options and there are four combinations
1 Jesus was a Judean & a Jew
2 Jesus was a Judean but not a Jew
3 Jesus was a Jew but not a Judean
4 Jesus was neither a Jew nor a Judean
Jesus was a Nazarene from Galilee. Yeah, he obviously was jew because he believed in the religion of the Old Testament (because he's God) and understood it better than anyone else. But at the time you can see a clear wide difference from the kind of jew Jesus was versus the Pharisee and Suducees, whom he despised and called them vipers and open tombs. They were a picture of what the modern jew was to become.