The "second death" is a phrase in the Revelation of John describing spiritual death and one's choice of and consignment to hell. It's not considered a good thing.
The western Church for a long time took the Stoic/Neoplatonist idea that the flesh is "bad" and evil, but ever since the Reformation that has not been a serious concept. Now ansd then someone would revive the idea, but it never found much currency. When the Bible became cheap and readily available, the description of the world being made "good" became much more well known, and that changed the view of the body-as-bad fairly rapidly (as these thigns go).
But in the main, there is no concept of the soul returning to earth in Christianity because of the Biblical statements such as "it is appointed...once to die and after this the judgement," "this day you will be with me in paradise," "he died and lifted up his eyes in hell and saw the poor man in heaven with Abraham," (a parable,and thus to be taken loosely, but based on the common understanding) and the assumptions and teachings from both testaments that we have only one life.
In Chrisianity, souls are a creation of God and thus while everlasting, not eternal. Therefore they do not "come from heaven." As Adam was made of the stuff of the earth, so are we. We begin here, live here, and end up in a life separate from here not having returned here. There is no teaching in the Bible to the contrary, all the evidence pointing to a one-way life.
Thus, there is no disincentive to come here from heaven, since we were not in heaven to begin with. We started here. Hence my question at the first of this thread. In talking of souls coming from heaven, one probably must mean souls viewed in some other religion from Christianity, for we don't have that idea.