Yes, He divorced her (Jer.3:8) and promised to marry her in righteousness.
See the book of Hosea and related link below.
Israel's God is Jehovah. He is the only God in the universe. Jesus was Jehovah in the flesh.
God named Israel after Jacob, who was given the name Israel after wrestling with an angel in the Bible.
The judge was the one who demonstrated God's justice to Israel
God changed Jacob's name to Israel.
Israel = ישראל (Yisra'el), which means "he will struggle with God"
Israel was and is the chosen nation of God and have God's special blessing upon them.
God changed his name to Israel for Jacob in the Bible.
Amos 4:12 says: "Therefore this is what I will do to you, Israel, and because I will do this to you, Israel,prepare to meet your God." (NIV) This is the prophecy where God pronounces judgement on unrepentant Israel. It was fulfilled when Israel was conquered by Assyria.
No, he was an idolater. At most, he would have believed that the God of Israel was one among many.
Yes, in the Bible, God changed Jacob's name to Israel.
Israel is 75% Jewish. Jews believe in God. Jesus is not part of Judaism. The Christians in Israel believe in their religion.
The judges were sent, by God, to deliver Israel from their oppressors. The book of Judges is a repeating cycle of Israel turning away from God, then God allowing other nations to oppress Israel, then the people crying out to God for help, and God sending a judge to deliver them.