Ive noticed that whenever Im driving there is a significant amount of noise coming from the back of the car. It sounds like a reving noise. Even when my foot is off the gas I hear it.

When I take a sharp turn, the car shudders and Im wondering if these two symptoms are related. I know the shuddering is because of low differential fluid. Could the other problem be the same??

 

Your first noise could be a bad wheel bearing.

The shudder could be cause by low ATF if you have a tip trans. Diffs don't usually shudder.