There is great peace and “rest” in this present evil age for those who believe the good news (gospel) that God has told us about, especially the good news about life AFTER death.
“All have sinned and come short of the glory of God...the wages or sin is death, but the free gift or God is eternal life in Christ Jesus our Lord.” (Romans 3:23; 6:23)
Hearing the good news does not give “rest” unless we have faith that God will actually do what he says - save us by resurrecting us and place us into a sinless new heaven and new earth..
"For as in Adam all die, so in Christ all will be made alive...The last enemy to be destroyed is death." (1 Corinthians 15:22, 26)
"Then I saw a new heaven and a new earth, for the first heaven and the first earth had passed away, and the sea was no more. And I saw the holy city, new Jerusalem, coming down out of heaven from God, prepared as a bride adorned for her husband. And I heard a loud voice from the throne saying, “Behold, the dwelling place of God is with humanity. He will dwell with them, and they will be his people, and God himself will be with them as their God. He will wipe away every tear from their eyes, and death shall be no more, neither shall there be mourning, nor crying, nor pain anymore, for the former things have passed away.” (Revelation 22:1-4)
God raised Christ Jesus from death, and Jesus promised to return and raise us. In this life, only those who have heard the truth and "believed" have peace and rest.
"Brothers and sisters, we do not want you to be uninformed about those who sleep in death, so that you do not grieve like the rest of humanity, who have no hope. For we believe that Jesus died and rose again, and we believe that God, through Jesus, will bring to life those who have fallen asleep in Him. According to the Lord’s word, we tell you that we who are still alive, who are left until the coming of the Lord, will certainly not precede those who have fallen asleep. For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first. After that, we who are still alive and are left will be caught up at the same time with them into the clouds to meet the Lord in the air. And so we will be with the Lord forever. Therefore encourage one another with these words." (1 Thessalonians 4:13-18)