Yes, he is.
In The Bible, Ezra was a man who was sent to teach the law of God and purify the Jewish community. Ezra is written about in the Books of Ezra and Nehemiah.
He was raised Jewish
The Book of Nehemiah does not specifically name its author, but both Jewish and Christian traditions recognize Ezra as the author. This is based on the fact that the Books of Ezra and Nehemiah were originally one.
No, Ezra Koenig is Jewish and the religions of Rostam, Chris Baio, and Chris Tomson are unknown.
Ezra Pound's birth name is Ezra Loomis Pound.
Ezra Stone's birth name is Ezra Chaim Feinstone.
Ezra Laemmle's birth name is Ezra Tishkoff Laemmle.
Ezra Fee's birth name is Ezra Thomas Fee.
Ezra Godden's birth name is Ezra Leo Godden.
Ezra Woods's birth name is Ezra Kenneth Woods.
No, Ezra Koenig is not black. His parents are Jewish, and came to the U.S. from Europe (including Romania and Hungary).