The second part of the question is: Is each person God? The New Testament portrays Jesus as God and shows him to claim such in his own words. This is a major theme of the book of John. The very first verse says “the Word was God”. John records the miracles of Jesus to show he is God. He has power over nature, over sickness, even over death. He describes the miracle at Cana, turning water to wine, as revealing his glory (John 2:11).
Jesus’ claim to be the Son of God was a claim of deity. The Jews understood this and persecuted him for it. John 5:18 says “For this reason the Jews tried all the harder to kill him; not only was he breaking the Sabbath, but he was even calling God his own Father, making himself equal to God.” Jesus also said “I and the Father are one”. See John 10:30. In verse 33, the Jews sought to kill him for they understood him to claim to be God. Paul expressed it this way: “For God was pleased to have all his fullness dwell in him” (Colossians 1:19) and “For in Christ all the fullness of the Deity lives in bodily form” (Colossians 2:9).
The resurrection is further proof that Jesus is God. He overcame the physical restraints on mortal men by overcoming death. It is the ultimate testimony to his being God. It is so important that Paul listed it as required belief for being saved. In Romans 10:9, he said “That if you confess with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved.”
Finally, we see Jesus as sitting on the throne at the right side of the Father. But, John put it bluntly in 1 John 5:20: “We know also that the Son of God has come and has given us understanding, so that we may know him who is true. And we are in him who is true-even in his Son Jesus Christ. He is the true God and eternal life.”