@OMG - Ok, I'll try, though I'm a bit lost. It just seemd hard to read laid out that way.
"Option 1: If God judges humanity and finds them worthy of forgiveness then no punishment is needed (to punish someone who is worthy of forgiveness is unjust). Reward may be granted, but in no way is killing Jesus a reward because he was helping humanity become better. Any other reward could be done without killing Jesus"
Nobody is "worthy" of forgiveness in an of themselves. Forgiveness, for it to be true forgiveness, must be given freely as gift, not because someone has earned it or is deemed worthy.
The underlying assumption you're making about Jesus being a good moral teacher is not possible. Jesus claimed to be God. No moral teacher is capable of claiming to be God. If you claim to be God, three possibilities remain for you. 1. You are a liar, and know it. 2. You are a delusional lunatic, and really think you are God. or 3. You are God. If Jesus was a liar than could he really be described as a good moral person? If we was a lunatic then describe the beauty and majesty of His teaching, which has been valued for two millenium. That leaves the third option...
So, this is wrong: "Therefore God could enact his judgement against humanity without a crucifiction."
And this is wrong: "Jesus helped humanity by teaching us how to be more moral. If God is good, then he wants people to be moral, since by making people more moral he reduces the amount of sin they commit, and this would mean God was moral because preventing sin is as moral an act as not committing sin yourself. Jesus was preventing sin by teaching humanity so his death increased the amount of sin that would happen and actions taken to kill Jesus would be effectively causing the other people's sin."
And this is wrong: "Conclusion 1: Given the 5 assumptions, God did not want Jesus to die. The story of the crucifiction in Christianity is illogical" - because Jesus did not leave the option open for us to believe in Him as a good moral teacher.
Then you say, "Option 1: God did want Jesus dead. This has been shown to be illogical for a benevolent being so God is therefore not omniscient or not benovolent. The Bible claims God to be both so if this option is true the Bible is wrong."
Shown to be illogical? God loves the world, the world has become His enemies, to rescue His people and restore their relationship He sends himself to take the just punishment for our rebellion. This is illogical? Would it be illogical to give your life so that others may live? If you could save your family by stepping in front of a moving vehicle for them, it would be illogical to do so, since you value life?
You say, "Option 2: Jesus died because of the Roman and Jewish authorities had free will and God did not want this. The Bible claims that Jesus's death was part of God's plan, so if this option is true the Bible is wrong"
God's desired will and God's actual plan are two entirely different things. Theologians talk of God's two wills. God's desired will and His actual will. His desired will being in a perfect environment. His actual will being in a fallen world, crushed by our rebellion. His desired will was not made possible because of His value of the free will of men, who rebelled, ruining everything. So, everything following is moot. You haven't in the least "shown" that the Bible is wrong.