Hell is not eternal. Death is DEATH for the unsaved.
And the choice to accept Christ does not save either. That would be a work, and salvation is not by works.
God has to give a person a new heart, only then can they believe. And if one has received a new spiritual heart, then they can trust that they will receive a new body as well, and that will be the end of sin for them. For right now, the saved are still in their sinful bodies, and that is a great burden to the spirit, for they are contrary to each other.
To sum it up, the choices a man makes can not save him; neither can his free will bring his complete salvation. There is no eternal hell, but all of man is spiritually dead. Death is his destination as it is. That is the fate of every man. So, really, man's rejecting Christ is not the sole reason for why death is upon him. Although, that may be the reason they do not become saved.
There are many false teachings (teachers) in the churches of the world. Cry out to God, pray for understanding, and cling to the simple salvation that is in Christ.
*** ADDED *** First, A new heart is a gift from God to a sinful man. A person who is given this type of spiritually new heart will become repulsed by their own sinfulness. Although they may still sin (because they are still in the sinful flesh), their sins become an enormously heavy burden upon them. Just like David, a true believer will cry out to the LORD in utter humility, begging to be saved from his enemies (Satan/sin). Secondly, a person CANNOT accept Christ without a new heart. (God's work comes first, not man's). A new heart is necessary in order to accept/believe in Jesus Christ at all. The heart of man is wicked and deceitful, how could he (of his own power) believe unto salvation? Of course, the GIFT is from God, and the GIFT is eternal Life; and yes, thankfully, this gift is given to sinners. If it wasn't given to sinners there would be no one to give it to (all are sinners). That is God's good pleasure -- and a mystery to us -- that He would give His life and show His love for a nation at war against Him. Praise to the God of our salvation.