I personally don't think you'd gain anything from a scan with UBCD. We can learn all about the HDD's health by looking at its SMART data. It may pass a diagnostic test with flying colors, and still have corrupted numerous files (in the past) and/or have many (remapped) bad sectors.
Looking at your HDD's SMART status, I can see that it had 104 (hex 68) bad sectors which have since been reallocated (see Reallocated Sectors Count). Since Current Pending Sector Count is 0, all suspected bad sectors have been successfully remapped, probably thanks to an earlier chkdsk /r scan.
Everything else looks good. I would suggest keeping an eye on the HDD every once in a while to make sure that it isn't developing more bad sectors (Current Pending Sector Count or Read Error Rate increasing from 0 in the far-right column).
In case you didn't know this, HDDs are quite sensitive to being jostled while in operation. Setting a laptop down too hard while it's on are is one the easiest ways to kill a laptop's HDD. If you need a laptop that can be thrown around, it would be a good idea to upgrade to a SSD, since they have no moving parts. This will also greatly speed up the laptop since the HDD is the biggest bottleneck in practically all laptops made nowadays.