BTW - SMART may not work with the external drive - in my experience, it often doesn't.
I'd shut the drive down, turn off Time Machine, and then reconnect the drive and turn it back on (you may have to reboot in there too, like you did before). Run Disk Utility - verify disk. See if it reports any errors or problems. Then reformat it with Disk Utility. Assuming that's successful, then try some really basic things: copy a few documents to the drive. Does that work? Can you open them and manipulate them?
If it seems to be behaving normally, then try a TimeMachine backup of a very limited sort - exclude most things, and just pick a folder/item that isn't too big (a few GB max) to see if it manages even that. If it doesn't, well, there is either a problem with the drive or a problem with a file. You could also try cloning software to see if that works, but again, don't clone the entire drive (CCC will let you pick and choose).
Actually, now that I've re-read your other thread about the upgrade, I realize that you may in fact have a problematic FILE; there may be nothing at all wrong with the Seagate drive.
You said:
QUOTE
1. I have 2 External Hard Drives - one with Carbon Copy Cloner (380 gb used out of 500 gb).
The other for Time Machine which stopped working a while back.
If TM stopped working on your old drive and it wasn't because of lack of space, then I'm willing to bet that there is an issue somewhere with a corrupted file. See Pondini's #C3 for info.
See:
http://pondini.org/TM/Troubleshooting.html for a really extensive guide to troubleshooting Time Machine.
Also, which drive is this? STDT3000100? It doesn't get stellar reviews - lots of early failures. 3.8/5 from Amazon, 3 eggs at NewEgg.