Jones definitively rejects God in this life. He dies. Should God give Jones a second chance at salvation? While an endless--or just extremely long--sequence of second chances might damage Jones' freedom to decide his ultimate destiny, a single second chance seems to be clearly a good thing.
Not necessarily! By giving Jones a second chance to choose God, God would also be giving Jones a chance to reject God all over again. But it is much worse to do wrong than to have bad things merely happen to one, at least when the wrong and the bad are proportionate. And rejecting God is among the worst of all wrongs--maybe even the worst of all wrongs. So there is definitely a risk of further gravely harming Jones by giving him a second chance.
This risk was already present when God gave Jones a first choice for salvation. But once one has done something terrible, doing it again is easier. If Jones has once rejected God's overtures, rejecting them again will be more probable, other things being equal. So, normally, the risk increases. Granted, God could decrease this risk to the level of the first-chance risk by changing Jones' character, but in doing so, God would be overriding Jones' freedom to decide on his character.
None of these considerations show that God shouldn't give a second chance. God could override character or take the risk of letting Jones reject him all over again. But what the considerations do show is that God could be acting reasonably and lovingly towards Jones in not giving Jones a second chance.
This argument depends on theologically incompatibilist simple foreknowledge or open theism: it doesn't work given theological compatibilism or Molinist.