Hi JL3008:
Your main concern at the moment isn't that Vista SP2 will stop receiving security updates when extended support ends on 11-Apr-2017. Your main concern is that your system hasn't received a security update for Vista SP2 or your IE9 browser since March 2016, so your system is already insecure and has been for almost a year.
If your BSODs are caused by faulty hardware that wasn't red-flagged in your Speccy profile, that still would not explain why System File Checker throws an error when you try to check the integrity of your system files, or why standalone .msu installers for important security updates that are missing from your system (including the latest cumulative security update for your IE9 browser) will not install.
Your Norton Security scan did not detect any malware, but that does not exclude the possibility that you are infected by a hidden rootkit or bootkit or some other malware [I run the occasional on-demand scan with Malwarebytes Anti-Malware to see if it can detect any potentially unwanted programs (PUPs) or malware missed by Norton].
Since you don't want to have the dump files from your BSODs analyzed, my only other suggestion is that you start a new topic in the bleepingcomputer Virus, Trojan, Spyware, and Malware Removal Logs board and have a trained malware removal specialist work with you one-on-one to see if you have any undetected malware on your computer. Follow the Preparation Guide pinned at the top of that board that includes instructions on how to post a detailed diagnostic log generated with the Farbar Recovery Scan Tool (FRST). If the FRST diagnostic doesn't show any signs of a malware infection, it might still uncover the reason why System File Checker will not run on your system. Once the malware removal specialist assigned to your case has confirmed that your system is clean you can come back to this thread and let us know their findings.
32-bit Vista Home Premium SP2 * Firefox v51.0.1 * NIS v22.9.0.68 * MBAM v2.2.1
HP Pavilion dv6835ca, Intel Core2Duo T5550 @ 1.83 GHz, 3 GB RAM, NVIDIA GeForce 8400M GS