A new creature or new creation in Christ involves being born of the Spirit of God, being born again.
But a new heavens and a new earth is different from being born again. I used the term new creation in this way, which is not necessarily Biblical but described my question about what is the new heavens and the new earth, if it is a new creation. The present creation, God's creation (for God is the Creator) is the only creation of God I know. Thus the question of if the new heavens and the new earth is a recreation, and now what form that recreation would take (remaking from that which is or remaking with entirely new material even perhaps new laws of nature etc...).
Thoughts about these verses, anyway.
2 Peter 3:10-13 NASB - 10 But the day of the Lord will come like a thief, in which the heavens will pass away with a roar and the elements will be destroyed with intense heat, and the earth and its works will be burned up. 11 Since all these things are to be destroyed in this way, what sort of people ought you to be in holy conduct and godliness, 12 looking for and hastening the coming of the day of God, because of which the heavens will be destroyed by burning, and the elements will melt with intense heat! 13 But according to His promise we are looking for new heavens and a new earth, in which righteousness dwells.
Layer upon layer of understanding within the Word; plus, microcosm view of things, macrocosm view of things.
New heaven = mind of Christ. New earth = glorified body. Peace