Reg HDD, "packing in" means breaking or dying. To be honest could be either mostly likely your HDD but could be your SDD tho the "insert boot media and press any key" message normally means either it cant boot off OS drive either because it not working or some reason its trying to boot off you data driver either way sounds way too much like a HDD/SDD issue. Its just a matter of finding out which best bet would be to unplug your data drive and only use your OS drive if computer turns on fine its your data drive if it does not its your OS driver hope this helps
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I am betting on it being your OS sorry