Revelation 21:1 - 4
NLT - 1 Then I saw a new heaven and a new earth, for the old heaven and the old earth had disappeared. And the sea was also gone. 2 And I saw the holy city, the new Jerusalem, coming down from God out of heaven like a bride beautifully dressed for her husband.
For follow-up discussion and general commentary on the topic. Comments are sorted chronologically.
Is the question asking whether the redeemed will have roles or tasks in eternity that are assigned to them by God to carry out; or is it asking whether the redeemed will be held responsible or accountable by God for what they do in eternity, implying either positive (degrees of reward) or negative (lack of reward) consequences based on their actions in eternity (apart from any reward that they might have already received for the conduct of their earthly lives); or is it asking about both those subjects?
We will be responsible for carrying out the will of God. We will be instruments and agents to carry out His plan and work. Ps. 103:20 tell us we will “Praise the Lord, you His Angels, you mighty ones who do His Bidding, who obeys His Word.”