Isn’t hell unfair and unloving?

Luke 16:19-25, 26-31

Is the doctrine of Hell unloving or unjust?
If God is good, why would He allow Hell to exist in the first place?

“But this man fails to see even in hell that his unbelief brought him to hell. He does not repent of that unbelief.  He invents a new means of grace for his brothers, one that God should have applied also in his case but did not apply. His plea for his brothers is a covert accusation of God who could have prevented his arriving in hell by a simple means but failed to use that means. If the rich man had been warned as he now proposed to have his brothers warned, he would not be in this place of torment.  Yes, he is more concerned about his brothers than God is, knows better than God how to save them, and blames God for his terrible fate.” – Lenski

There are only two kinds of people in the end:  those who say to God, “Thy will be done,” and those to whom God says, in the end, “Thy will be done.” All that are in Hell, choose it.  Without that self-choice there could be no Hell.  – C.S. Lewis, The Great Divorce