not sure how much more evidence we need that its the hard drive.
Do you know what make/model ssd/hdd are in the laptop?
if no, run speccy -
https://www.ccleaner.com/speccy/download
on the storage tab it might tell you name of the drive, or who made it at the very least.
Most hard drive makers have tools we can use to test drive
unexpected store exception
3 blame hardware disk
the store in the error is used by Virtual memory to track where the info is. Windows tells every application it can use way more space than you actually have and the store is used to track the virtual locations of the files.
error 2 above happened after CPU couldn't find the info it needed in ram so it looked on the hard drive and then crashed when the info it recieved wasn't what it was expecting
Kernel data inpage error - this occured on the hard drive. in the page file
If drive randomly just disappears, I wouldn't be still using it. I would have listened to my advice on the 2nd reply in this thread and got another drive.