Nano 5th Generation - Recognized on Mac, not on Mac iTunes

The 5th Generation iPod Nano that I have been using for a couple of years now is not being recognized by the iTunes on my new MacBook Pro. It IS recognized by the computer and it shows up in the Finder, but it never shows up as a device on iTunes.

However, I don't think it's a problem with the actual iPod because it still connects to the iTunes on my desktop PC that I used before getting my MacBook.

Any ideas why it would connect to the PC computer, the PC iTunes, the Mac computer, but NOT the Mac iTunes??? Both my Mac and my PC have the latest versions of iTunes, I believe.

Also, I'd like to try to fix this without having to restore the iPod and wipe it clean... unless someone knows a way I can somehow save all my music and all the playlists I have created?