Very likely, I'm afraid that a new hard drive is going to be necessary since these 0x7a stops are caused by bad blocks and not any software that was installed (or not installed.)
Basically, they're indicative of a physically failing hard drive and any kind of format can not repair that.
If money is a concern, then trying to low level format the hdd and re-installing Windows, of course can be tried. There's nothing wrong with the attempt.
There is a hardware issue though. If it isn't the actual drive itself gone bad, it is the cooling of the laptop itself that has gone bad which is causing the hdd to work in temperatures it doesn't like.
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To the OP - Please make sure you run that chkdsk command as I've shown to above, in an...