rabbi means teacher. jesus was not a "jew" he was not a scribe or pharisee. thats why they had to sneak around to talk to him. he wasnt one of them.
Was Jesus a Jew ethnically, or was his mother a Jew? Jesus clearly identified with the Jews of His day, His physical people and tribe, and their religion (although correcting its errors).. God purposely sent Him to Judah: “He came to His own [Judah], and His own [Judah] did not receive Him. But as many [Jews] as received Him, to them He gave the right to become children of God, to those who believe in His name... (John 1:11-12 NKJV), and He clearly said, "You [Gentiles] worship what you do not know; we [Jews] know what we [Jews] worship, for salvation is of the Jews” (John 4:22).
The very first verse of the New Testament clearly proclaims the Jewish ethnicity of Jesus. “The book of the genealogy of Jesus Christ, the son of David, the son of Abraham” (Matthew 1:1). It is evident from passages like Hebrews 7:14, “For it is clear that our Lord descended from Judah,” that Jesus descended from the tribe of Judah, from which we get the name “Jew.” And what about Mary, the mother of Jesus? In the genealogy in Luke chapter 3, we see clearly that Mary was a direct descendant of King David which gave Jesus the legal right to ascend the Jewish throne as well as establishing without any doubt that Jesus was a Jew ethnically.
Was Jesus an observant Jew religiously? Both of Jesus' parents had “done everything required by the Law of the Lord” (Luke 2:39). His aunt and uncle, Zechariah and Elizabeth, were also Torah-observant Jews (Luke 1:6), so we can see that probably the whole family took their Jewish faith very seriously.
In the Sermon on the Mount (Matthew 5–7), Jesus continually affirmed the authority of the Torah and the Prophets (Matthew 5:17) even in the Kingdom of Heaven (Matthew 5:19-20). He regularly attended synagogue (Luke 4:16), and His teaching was respected by the other Jews of His day (Luke 4:15). He taught in the Jewish Temple in Jerusalem (Luke 21:37), and if He were not a Jew, His going into that part of the Temple would simply not have been allowed (Acts 21:28-30).
Jesus also displayed the outward signs of being an observant Jew. He wore tzitzit (tassles) on His clothing (Luke 8:43; Matthew 14:36) to serve as a reminder of the commandments (Numbers 15:37-39). He observed Passover (John 2:13) and went up to Jerusalem (Deuteronomy 16:16) on this very important Jewish pilgrimage feast day. He observed Succoth, or the feast of tabernacles (John 7:2, 10) and went up to Jerusalem (John 7:14) as required in the Torah. He also observed Hanukah, the festival of lights (John 10:22) and probably Rosh Hashanah, the feast of trumpets (John 5:1), going up to Jerusalem on both those occasions as well, even though it isn't commanded in the Torah. Clearly, Jesus identified Himself as a Jew (John 4:22) and as King of the Jews (Mark 15:2). From His birth to His last Passover Seder (Luke 22:14-15), Jesus lived as an observant Jew.