Does Jesus raising Lazarus make him God? Looks like the prophet Elisha beat him to it, having raised two children from the dead (1 Kings 17:22 and 2 Kings 4:34). Furthermore, the disciples were bidden to raise the dead (Matthew 10:8).

Did Jesus perform the miracle by his own power or was God responsible?

"Men of Israel, listen to this: Jesus of Nazareth was A MAN ACCREDITED BY God to you by miracles, wonders and signs, WHICH GOD DID AMONG YOU THROUGH HIM, as you yourselves know." (Acts 2:22)