OK Sd, if it were me I would take the external HD back to the original Mac and run a repair utility on it. Use Apple's Disk Utility if that's what you have. There is a chance you can save your music.
If you're using Disk Utility and it doesn't seem to do anything the first time, repeat the repair process a few times. BTW the big gun in repair programs is DiskWarrior, but it costs.
If you're using Disk Utility and it doesn't seem to do anything the first time, repeat the repair process a few times. BTW the big gun in repair programs is DiskWarrior, but it costs.