Hard Disk Monitoring

I purchased and installed Hard Disk Sentinel in early December.
At that point I already knew that I had some reallocated sectors, but did not record the count. The reallocated sectors have been escalating in recent days – 2387 on 12/20/2012, 2776 sectors on 12/21/2012. The Health has deteriorated to 0 for the last 3 days and even Windows 7 at startup is showing failure imminent.

I am reluctant to run a deep scan, since it is obvious that the hard disk is failing and would like to limp along until the computer is unusable, at which point I will have the hard disk replaced under an extended warranty.
I have both Norton Ghost and Acronis backups on externals drives. My question is whether those backups could have damaged or missing files. It occurs to be that if an active sector goes bad then the data would be unrecoverable, even if the location were reallocated to the spare error. Is there any place where the names of the possibly damaged files would have been logged?

Thanks,
Allan

Acronis can verify its image backup files and that proves whether or not there are any errors between the backup and the contents of every sector as read at the time the backup was created.

If Acronis read and accepted rubbish from a bad sector then rubbish is what you have in the backup.
Just possibly the Disk Controller might report a problem with a read,
but if Acronis disregarded the error at that time then I doubt that any errors can be determined from the backup.