If your family is truly evil with no good in them whatsoever and no faith, and they die in that state then obviously they will not be candidates for receiving Allah's eternal bounties. It should be noted that on the Day of Judgement
all family ties will be severed, even the good ones and then ties with good family members will be re-established in Jannah.
If your family has some good in them, with some faith and good deeds but still with the evil of oppressing you, then all injustices and scores are settled on the Day of Judgement before entering into Paradise. So if any Muslim wrongs you, then you will be able to take that person's good deeds from them until the wrong is put right. If they have no good deeds or not enough, then you will be able to give them some of your sins until the wrong is put right. In any case, you will be fully satisfied and your heart will be fully mended from any hurt that you received in Dunya
before entering into Jannah. If there is a family member who eventually gets to go to Jannah, there will be no beef between the two of you anymore and you can coexist in perfect harmony.
I also wonder if Allah will destroy the Earth. Will he destroy it, doesn't it say that in revelation?
Yes, Allah will change the Earth to a new Earth in which every elevation will be made level and every crevice will be filled. The Earth will be completely smooth and level and will serve a different function entirely, it will be the place of Standing on the Day of Standing. Everyone will stand on the Earth on that Day awaiting Judgement.
I don't know why Allah won't allow us to choose the life, people, and family to be born into. Allah has all control and he chooses, no human being chooses how to live their life, their nationality, the country they would like to be born into. I can say that it is not fair but I can't question Allah.
This life was never meant to be the place where people get what they deserve. Why people think that, I do not know. The Prophet (May Allah's Peace and Blessings be Upon Him) said:
[FONT="]“[/FONT][FONT="]The most privileged people in the world among the people of Hellfire will come on the Day of Resurrection to be dipped in Hellfire, then it will be said: O son of Adam, did you see any good? Did you get any blessing? He will say: No, by Allah, my Lord! Then, the most miserable people in the world among the people of Paradise will come on the Day of Resurrection to be dipped in Paradise, then it will be said: O son of Adam, did you see any hardship? Did you have any distress? He will say: No, by Allah, my Lord! I did not once see hardship or distress.[/FONT][FONT="]” (Muslim)
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In this life, the worst of creation seem to "have it all" while the best of creation suffer tremendously with no recourse to any real justice in this life. The Prophet (salallahu alihi wa salam) told us that the one who had the "best" life in dunya will completely forget all of that and swear by Allah that he enjoyed nothing upon being merely "dipped" placed in and out of Hellfire and the person who had the worst life will forget all of that and swear by Allah that he never suffered upon being merely "dipped" into Jannah.
This Dunya is a split snapshot of our existence. An incredibly brief moment of time that occurs to us and then we move on. No amount of suffering is too great in this regard.
Be careful. Be grateful to Allah. It wouldn't make sense that Allah would allow any of us to choose our set of circumstances in this life before we even come into existence. Allah's knows better what's best for us. For those in this Dunya who have more than others (More wealth, more power, more opportunities, etc.) they have more responsibilities than the rest of us and they will be asked about a lot more and held accountable for that. For us, if we are simply patient and content with whatever we do have, we will have fulfilled our obligation. This life is not the place of reward and justice. This is the place where each of us earns their level in Paradise or Hell.