BSOD's when browsing internet and watching video, multiple errors  

Good to hear, but a new zip is unnecessary
I can only check through the dumps if driver verifier is enabled, as there is no new dump there is no way to check it.

The 0xA looks almost like a hardware crash to me.
Please run below tests, read the instructions carefully including the tutorials.

See if you can use a different keyboard & mouse and check MSI for driver updates for the Intel Rapid Storage drivers.
Support For H97 GAMING 3 | MSI Global | Motherboard - The world leader in motherboard design 64

Code:

0: kd> lmvm rzudd
Browse full module list
start             end                 module name
fffff800`bf050000 fffff800`bf083000   rzudd    T (no symbols)           
    Loaded symbol image file: rzudd.sys
    Image path: rzudd.sys
    Image name: rzudd.sys
    Browse all global symbols  functions  data
    Timestamp:        Tue Aug 11 13:13:50 2015 (55C9D8EE)
    CheckSum:         00035524
    ImageSize:        00033000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

2: kd> lmvm iastora
Browse full module list
start             end                 module name
fffff800`ea330000 fffff800`ea8a2000   iaStorA  T (no symbols)           
    Loaded symbol image file: iaStorA.sys
    Image path: iaStorA.sys
    Image name: iaStorA.sys
    Browse all global symbols  functions  data
    Timestamp:        Wed Jun 03 11:38:57 2015 (556ECB31)
    CheckSum:         00165AED
    ImageSize:        00572000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Diagnostics Test

 HDD TEST

Run SeaTools DOS to check the integrity of your HDD. SeaTools for DOS and Windows - How to Use - Windows 7 Help Forums
Run the long test.

   Note

Do not run SeaTools on an SSD as the results will be invalid.

Make a photo of the result and post it.

Run chkdsk
Disk Check - Windows 7 Help Forums
Use option TWO with parameter /r
Upload the chkdsk log Check Disk (chkdsk) - Read Event Viewer Log - Windows 7 Help Forums

Run HDTune to

• scan for errors, no quick scan but full scan
• check the health,
• run a benchmark.

It may take some time, but please take the time you need to perform it properly.
When above is done please make screenshots of the following

• the error scan,
• the health,
• the benchmark incl. following
  
  • transfer rate,
  • access time,
  • burst rate,
  • cpu usage.

Diagnostic Test

 RAM TEST

Run MemTest86+ to analyse your RAM. MemTest86+ - Test RAM - Windows 10 Forums

   Note

MemTest86+ needs to be run for at least 8 complete passes for conclusive results. Set it running before you go to bed and leave it overnight. We're looking for zero errors here. Even a single error will indicate RAM failure.

Make a photo of the result and post it.

Addition:
If errors show up you can stop the test, remove all sticks but 1 and test this single stick in each slot for 8 passes or until errors show, switch sticks and repeat.
If errors show up and you see them a lot later, no problem, the errors don't affect the test.

Diagnostic Test

 CPU TEST

Run Prime95 and/or IntelBurnTest to stress test your CPU. Prime95 - Stress Test Your CPU - Windows 10 Forums CPU - Stress Test Using IntelBurnTest - Windows 7 Help Forums

   Note

If you're overclocking anything, please stop it and set everything back to default while troubleshooting

   Warning

Your CPU temperatures will rise quickly while under this stress test. Keep a keen eye on them and abort the test if overheating occurs.

Make a photo of the results and post them.

Please follow the instructions,
- no aida64,
- photo of memtest86+?

It is requested to follow the instructions properly, there is a huge difference between MemTest86 and MemTest86+.

Looks fine :)

But a few are missing, the hard drive tests?