I don't think I was too clear as to why I needed a second Mac and not my own MBA. My iPod wasn't recognized on my MBA by finder or Apple Music. Though, something strange happened with my Apple Music a few minutes ago and I can't explain it because it only was like a second or two.
Though, this is kind of off-topic, my play counts for my Apple Music playlist (at least the one I listen to year-round) have been messed up. I downloaded song sergeant and there is quite a jump in a few play counts. I don't know if it's a coincidence that my iPod isn't working and the play counts on some (maybe not all) songs are out of whack.