SMART Failure Predicted on Hard Disk 0: <disk type>
1720 - At least one driver attribute has exceeded the manufacturer's threshold.
I have extensive experience with Compaq / HP desktop & server hardware - this looks like a legitimate warning that your hard disk is accumulating read / write errors - possibly mapping out an excessive number of bad blocks.
I would back up your data ASAP and prepare to replace the HDD.
Having said that, there is a RomPaq for your laptop
here that addresses hard disk system errors - might be worth installing first.
I'm surprised that you don't have the Drive self-test utility - certainly my experience is that HP / Compaq used to be good at supplying comprehensive BIOS utilities, even if they used to be on a hidden partition on older Compaq PCs.
Have a look
here for instructions to access and run the drive self-test.
SD