We don't really think of the earth as itself being alive. Some day, about five billion years from now, the sun will run out of energy and the earth will become uninhabitable. But it will still be here. Hopefully we will have gone to another star by then. Fortunately, the answer is no.
Earth is in a nice, stable orbit, so there is no danger of that.
It will become much bigger than it is now and will make Earth very hot. No, I don't think Earth is moving away from the sun. It has been in orbit at about the same distance for a long, long time or life would not have survived here. As you know, it's hotter at the equator. This is because the sun shines down from almost overhead.