You won't find anywhere in the Bible where it says Lucifer tempted Eve to eat the forbidden fruit. There was a serpent/dragon in Genesis, and Satan is referred to as a serpent/dragon elsewhere in the Bible besides Genesis... like in Revelation 20:2 "And he laid hold of the dragon, the serpent of old, who is the devil and Satan, and bound him for a thousand years" -- saying "serpent of old" is referring to the tempting of Eve.
Although I've heard people try to say it because of the "morning star" connection (explained below) -- Jesus is not Lucifer. Not even Satan is Lucifer, as far as the Bible is concerned.
Although even today many call Satan "Lucifer" due to interpreting poetic language in a way it was not meant -- Lucifer is not one of Satan’s names (in the Bible), but instead is translated “star of the morning” in Isaiah 14:12 and refers to the king of Babylon (v4), a type (prefiguration) of the “beast” (antichrist) who will lead the Babylon of the last days (info from Zondervan’s NASB study bible notes). The phrase “star of the morning” is not synonymous with “Satan” but is figurative language of the king’s high position (see Num 24:17; Rev 2:18-29; 22:16).
In Luke 10:18, Jesus does not use the word "Lucifer" and He is not referring to a time in the past, but to His present. His comment comes after the disciples mention even the demons are subject to them. It would be silly to consider Lucifer an actual star that can fall out of the sky -- this is not what Jesus meant. And He certainly wasn't referring to Himself.
Ezekiel 28 is referring to either the city of Tyre as a ruler, or to Ethbaal II, the king then ruling Tyre. Much of the chapter is using poetic, not literal, language.