Everytime I try to leave the Ultra Luxe after doing the Beyond the Beef quest. I tried reloading the save in the Ultra Luxe before I initiating the Quest but the problems still there? Any suggestions?

Well, what's the problem? You didn't describe it...

I've completed the quest but everytime I move into any cell within the Ultra Luxe it freezes.

THAT'S better!

The problem isn't with the quest (you've said yourself it persists when reloading to before starting the quest.) Not sure what it is, but try reloading an earlier save, before entereing the Ultra Luxe.

Yeah, I had two saves but unfortunately my oldest one was just as I had gone in so I'm stuck basically. Could it be anything to do with installing it on to the 360 Hard Drive because I never had this problem before I installed it.