Time Machine backup problems

I've been trying for the past week to back up my data but I haven't been able to because Time Machine (for Mac) keeps failing out. Every time I tried to run a backup, the system would stall out and output "Unable to complete backup. An error occurred while copying files to the backup volume."

After some research, I discovered out how to view the errors since the error popup was not descriptive at all. You have two options, you can type out backupd in Console and that will output the errors. The better option which I prefer is getting TM Error Logger by Carnation Software. It is a simple to use application that displays just the errors from Time Machine, this is a better option for the novice user who is not as savvy with using console commands.

I keep running into Error 11 for some reason which means it's a hardware exception. I am trying to figure out if it's something specific to the file that was causing the error and how to repair it. Running Disk Utility is my last hope. I'm not sure what else I can try at this point.