15 minutes to restart & takes long to connect 2 network

[action2288]

Toshiba Satellite M645-S4065 (LAPTOP)
CPU: Intel Core i3 M370 2.40GHz dual-core
RAM: 4GB
System type: 64-bit

I'm not sure if these two problems are related, but here goes.

1) When I restart, my computer stays stuck at the "Shutting Down..." screen for 15 minutes. I then get a BSOD, then it restarts, I get the prompt to start up as safe mode, etc., and then I'm back to the main screen.

The BSOD reads: driver_power_state_failure

2) Connecting to the internet, whether by my phone's hotspot or ethernet cord is really problematic, especially by cord. It often hangs and I have to restart the computer or wait a really long time. The taskbar icon hangs with the spinning Aero circle perpetually. And attempting to open the networking controls just freezes.

I've Googled ad nauseum but don't really understand the troubleshooting options. More info on the BSOD is below.

 

[action2288]

Problem signature:
Problem Event Name: BlueScreen
OS Version: 6.1.7600.2.0.0.768.3
Locale ID: 1033

Additional information about the problem:
BCCode: 9f
BCP1: 0000000000000003
BCP2: FFFFFA8003BDA980
BCP3: FFFFF80000BA2748
BCP4: FFFFFA8003F8FE10
OS Version: 6_1_7600
Service Pack: 0_0
Product: 768_1

Files that help describe the problem:
C:\Windows\Minidump\031611-30810-01.dmp
C:\Users\Mark Anthony Santana\AppData\Local\Temp\WER-53336-0.sysdata.xml

Read our privacy statement online:
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If the online privacy statement is not available, please read our privacy statement offline:
C:\windows\system32\en-US\erofflps.txt

 

[action2288]

Now my unzipping of files and downloading PDFs is hanging as well. Hmm.

 

[George_K]

Viruses and fragmented HD

 

[action2288]

Viruses and fragmented HD

To fix fragmentation is the defragmentation tool that comes with Windows 7 still a good way to go? Also, as for good virus checkers, any recommendations? The ones I have run have either not found issues or have cleaned out some stuff, but my problems still persist.