Lucifer and Satan being mixed up.?

Sorry but you are wrong. Lucifer was a son of the Morning but he rebeled and there was a war in heaven and he and his angels one third of the host of heaven were cast down to the earth. and he became Satan or the Devil. The name of Satan mean literally light bearer or shinning one. It is thus intended to convey a realization of his high status of prominence and authority in the pre-existence before his rebellion and fall.