I believe that Rand al'Thor will die during the last battle, but he will be resurrected. So far in the book, nothing have been said about the tree of life. In the glossary, it says that avendoraldera performs many miracles. Remember the comment Moiriane gave when they discovered it in Rhuiden,that she can't even imagine that after all these years it could be found there. Anyway, i believe that Loial, the son of Areth will sing the song which the Tinker seek,(will be found before the end of the book) to Rand who will be buried under the Tree of Life to him and He will go and have mana ger toa with his three lovers.