Do you consider Beelzebub, Lucifer and Satan to be the same character or three different ones? [Spirituality & Religion]

Lucifer used to be an angel of heaven. He wanted power. So, he "got what he asked" and his name is now Satan, god of hell. Beelzebub is basically a god of waste and decay. Which is why the Pharisees thought that was who Jesus prayed to, because they see Jesus as someone who prays to demons as they themselves are blind to the faith.