Hi Grazer,
In my opinion, most of what you said is correct. The one problem with what you said is this...
"God has chosen everyone by Jesus's act on the cross and his resurrection."
God chose the elect, not everyone. The ones He chose He gave to Jesus, put His Spirit in them, gave them a new heart, eyes to see, ears to hear, and the ability to believe and repent.
John 6:37 (NAS) - “All that the Father gives Me will come to Me, and the one who comes to Me I will certainly not cast out.
John 6:44 (NAS) - “No one can come to Me unless the Father who sent Me draws him; and I will raise him up on the last day.
Based on John 6:44 we know that everyone who the Father draws will be saved. The question is then will the Father draw everyone? If He will then everyone will be saved and the Bible clearly doesn't support that view. God has chosen a group of people to save by grace and grace alone. The others have been passed over and left in their sins to receive justice.
This is a very difficult thing to accept, however. I did not want to believe it, but after wrestling with it for a while I've come to find that it removes all boasting from man and glorifies God's grace.
Those men given to Christ were the apostles and disciples of His day and at least one of them was lost. If you notice Jesus' words in John 17 He speaks of those the Father gave Him.
KJV
John 17:1 These words spake Jesus, and lifted up his eyes to heaven, and said, Father, the hour is come; glorify thy Son, that thy Son also may glorify thee:
2 As thou hast given him power over all flesh, that he should give eternal life to as many as thou
hast given him.
3 And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent.
4 I have glorified thee on the earth: I have finished the work which thou gavest me to do.
5 And now, O Father, glorify thou me with thine own self with the glory which I had with thee before the world was.
6 I have manifested thy name unto
the men which thou gavest me out of the world: thine they were, and
thou gavest them me; and they have kept thy word.
7 Now they have known that all things whatsoever thou hast given me are of thee.
8 For I have given unto them the words which thou gavest me; and they have received
them, and have known surely that I came out from thee, and they have believed that thou didst send me.
9 I pray for them: I pray not for the world, but for
them which thou hast given me; for they are thine.
10 And all mine are thine, and thine are mine; and I am glorified in them.
11 And now I am no more in the world, but these are in the world, and I come to thee. Holy Father, keep through thine own name
those whom thou hast given me, that they may be one, as we
are.
12 While I was with them in the world, I kept them in thy name:
those that thou gavest me I have kept, and none of them is lost, but the son of perdition; that the scripture might be fulfilled.
13 And now come I to thee; and these things I speak in the world, that they might have my joy fulfilled in themselves.
14 I have given them thy word; and the world hath hated them, because they are not of the world, even as I am not of the world.
15 I pray not that thou shouldest take them out of the world, but that thou shouldest keep them from the evil.
16 They are not of the world, even as I am not of the world.
17 Sanctify them through thy truth: thy word is truth.
18 As thou hast sent me into the world, even so have I also sent them into the world.
19 And for their sakes I sanctify myself, that they also might be sanctified through the truth.
20 Neither pray I for these alone, but for
them also which shall believe on me through their word;
21 That they all may be one; as thou, Father,
art in me, and I in thee, that they also may be one in us: that the world may believe that thou hast sent me.
22 And the glory which thou gavest me I have given them; that they may be one, even as we are one:
23 I in them, and thou in me, that they may be made perfect in one; and that the world may know that thou hast sent me, and hast loved them, as thou hast loved me.
24 Father, I will that they also,
whom thou hast given me, be with me where I am; that they may behold my glory, which thou hast given me: for thou lovedst me before the foundation of the world.
(Joh 17:1-24 KJV)
Jesus prays here for two groups of people, those who were given to Him (past tense) and those who "will" (future) believe on Him through their words. The reason only those who were drawn by God could come to Christ is because the Jews were blinded. This blinding was prophesied by Isaiah and spoken of by both Jesus and Paul. They were blinded so that the crucifixion could take place. However, Jesus said if He was lifted up He would draw all unto Himself. So, after the cross the drawing is universal. Additionally, not all of those who were chosen will be saved. Jesus said, Judas was lost.
You see, those verse from John "must" be understood in their historical context as must the rest of the Scriptures.