You are going to face disagreement in making those statements.
Lucifer ("Light bringer") was the name of the devil before he fell and was given the name of satan ("adversary").
Ezekiel 28 and Isaiah 14 are indeed passages about him.
Apparently there is at least a solar cycle. Or, it could just be referring to the fact that there will be an understanding of the passage of time for those who are tormented in the lake of fire.
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God intervened in every man's life by drawing him to Christ by the power of the Holy Spirit. Every man is then given an opportunity to either receive or reject Christ; and if they receive Him, then they are born again.
Regeneration is not necessary in order for a man to be able to receive Christ. Only the drawing of the Holy Spirit is needed; and that does not amount to regeneration.
When a man enters into the window of opportunity where he can either receive or reject Christ, this does not mean that he has already been born again. He has the opportunity to be born again.
Here is John 1:12...
Jhn 1:12, But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name:
Notice it does not say that "
To as many as became the sons of God, to them He gave the power to receive Him."
The latter would have to be the real rendering if Calvinism be true.
Jesus is the last Adam. There will not be a third.