Mac OS X is a Unix operating system. What you're seeing are the "user friendly" presentations of Unix file permissions, user, group, and other. Since you're marcoguasc... unless the user name and ID have changed, then that's basically saying you have permissions to access the drive.
I'm inclined to think it's a drive compatibility issue. With one of my external drive, Mavericks more or less dropped it, then said it couldn't be read and it needed to be reformatted. Fortunately I had a Lion volume around so I booted from it and ran Disk Utility to repair the drive, which it did.
One thing I've noticed is that some people need to disable the "Put hard disk to sleep when possible" option under System Preferences -> Energy Saver options. I'd be surprised if that was the issue but it's worth a try. Another thing you might try is to reset the NVRAM:
http://support.apple.com/kb/ht1379
with the unit plugged into the new computer. Once again, I'd be surprised if it works, but it might be worth a try.
The two problems I can think of are that the drive has an incompatibility issue, and possibly some type of problem with the use of the DOS file system.