Note 1 at Lu 23:8: Five Herods are mentioned in the Bible. This Herod whom Jesus was brought before was Herod Antipas. This was the same man who imprisoned John the Baptist and eventually beheaded him. As mentioned in note 1 at Lu 9:7, when Herod Antipas heard reports of Jesus' ministry, he was convinced that Jesus was John the Baptist raised from the dead.

Remembering these things gives a little more explanation as to why Herod had been desirous to see Jesus for a long time, and it makes his sin of mocking Jesus (Lu 23:11) even worse.

Note 2 at Lu 23:8: Herod desired to see some miracle done by Jesus. No doubt some of his questioning with Jesus made this desire known (Lu 23:9). However, Jesus did not use His faith to do any miracles for Herod. Miracles are God's way of meeting the needs of those who seek Him in faith. Miracles will sometimes be used to demonstrate God's ability so that people may believe (Mr 2:10-11), but they will not happen to skeptics who are tempting God (Lu 4:9-12).