|There are many parameters checked with S.M.A.R.T. Bad sectors surely are one indication that a hard drive is going bad. That said, you may well have some bad sectors. Modern hard drives have reserved sectors that are automatically put into service when already in use sectors are marked as bad. Sometimes these sectors are not really bad and can be repaired. You should run a hard drive fitness test on the drive to determine the actual condition. Without knowing the brand of the hard drive I can't send you to the correct site to download a test.|
I can suggest you download a utility called SIW that should yield the model of your hard drive. Then go to that manufacturers site for the test.
More likely than not your hard drive has sustained irreparable damage already. Possibly from the overheating you mentioned.
Get SIW free version at the link below.