Copy any critical files ASAP, either to another drive or to another location on the same drive. If any are compromised, they won't copy. With 2 copies, it's safe to repair bad sectors.
Unless more sectors fail, you shouldn't have any additional problems. But as drive failures go, sectors start failing more and more till it's toast. If you use the repair tool provided by the drive maker, it's a lot safer than using Windows to recover and repair bad sectors.