Q: Shuffle 2nd blinks 3 times and stops.

According to this article: iPod shuffle (2nd generation): Understanding status light behavior

B-rock

There is no error codes. Have you tried resetting the Shuffle with it still connected to your PC?  iTunes dosen't recognize it?

Resetting iPod shuffle

B-rock

Have you tried connecting it to another PC or Mac with iTunes to see the Shuffle shows up properly there?

B-rock

Maybe let the battery drain and sit for a day or two. Then try reconnecting it to your PC.  Otherwise, if you'd like you can also schedule an appointment at your local Apple Store's Genius Bar or Apple Authorized Reseller to have them verify whether its a hardware issue or not.

B-rock