BSOD becoming more frequent, multiple types

Hello you fine folk on the Seven forums. Assistance needed please!
I'm running Windows 7 Home Premium 64-bit (version 6.1/Build 7601/Service Pack 1) on a Sony VAIO F-Series laptop. I have been experiencing BSODs since a few months after I bought it, though they only happened once every few weeks or months until recently. This was complicated by the fact that the other user of this laptop failed to alert me so I have not been able to retrieve a comprehensive list of error codes. However, I've uploaded a sampling of the ones I have been able to retrieve.

Other things to report: Graphics drivers failing so that screen and audio go blank (not very often). A sound distortion like the one you sometimes get with a BSOD will happen now and then. A funnel test using a VAIO Health scan seemed to indicate bad sectors on my hard drive. Also, a recent disturbing development is the computer suddenly switching itself off at random.
I want to replace my hard drive but I'm concerned that it may be another hardware issue. (Also it's hard to get a 2.5 inch SATA with 640 GB and 16MB cache at 7200 RPM, especially Toshiba.)
Please help, people! Thank you.

Hello,

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-Justin