Bug #1: When I speak to Paarthunax about meditating on a word and choose fade I get no buff.

Bug #2: First time I fight Alduin eveerything works fine, but if I die he becomes immune to all damage and I have to load a save prior to attaining the Dragon Rend shout in order to have a chance again.

In case it matters I have both of the dlcs and wouldn't know if these bugs were in the game prior as I've gotten so caught up in side quests I've never been this far in the main story before. Also, I have the newer xbox 360. Probably doesn't make a difference if it's the newer or older one, but just in case.