Does rin die in any episode of the new series in inuyasha?

In the anime, yes, Rin does die. Sesshoumaru wishes to strengthen his sWord, so he goes into hell, with Rin tagging along. However, Rin dies.

u no that's in manga the only time rin dies in anime is when we first meet her the second time is in manga chapter 400 somthing or other

In the end shes back at her home village. Inuyasha, the final chapter episode 9 :3