I have a few issues with my transmission after my last trip to the track and any suggestions as to whats broken is appreciated. Btw it's a 01 SS w/t56.

Problem #1
First, second and third gear whine, it sounds similar to the whine of a manual transmission in reverse.

Problem #2
After about 20 minutes of driving I can feel the heat from the trans coming up through center console.

Problem #3
Very slight shudder in reverse.

Thanks in advance for any help!