seemingly random BSOD events

Code:

ffff880`035eaef0  fffff880`00040001
fffff880`035eaef8  00000000`000000fe
fffff880`035eaf00  fffff880`035eaf30
fffff880`035eaf08  fffff880`061177ffUnable to load image \SystemRoot\system32\DRIVERS\igdkmd64.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for igdkmd64.sys
*** ERROR: Module load completed but symbols could not be loaded for igdkmd64.sys
 igdkmd64+0x727ff
fffff880`035eaf10  fffffa80`0ff19000
fffff880`035eaf18  fffff880`00040001
fffff880`035eaf20  00000000`000000fe
fffff880`035eaf28  00000000`00000000
fffff880`035eaf30  00000000`00000000

Code:

start             end                 module name
fffff880`060a5000 fffff880`065c2600   igdkmd64 T (no symbols)           
    Loaded symbol image file: igdkmd64.sys
    Image path: \SystemRoot\system32\DRIVERS\igdkmd64.sys
    Image name: igdkmd64.sys
    Timestamp:        Fri Nov 01 04:58:01 2013 (5272A131)
    CheckSum:         0052AB18
    ImageSize:        0051D600
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Try updating the Intel video driver:
https://downloadcenter.intel.com/Default.aspx

Upload new zip file

OK, you seem to have two problems here, both network-related.

Code:

fffff880`1b15e030  ffff0000`1ac35c53
fffff880`1b15e038  fffff880`03bf341eUnable to load image jakndis.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for jakndis.sys
*** ERROR: Module load completed but symbols could not be loaded for jakndis.sys
 jakndis+0x341e
fffff880`1b15e040  fffffa80`15c2f3d0

Code:

start             end                 module name
fffff880`03bf0000 fffff880`03bfb000   jakndis  T (no symbols)           
    Loaded symbol image file: jakndis.sys
    Image path: jakndis.sys
    Image name: jakndis.sys
    Timestamp:        Mon May 23 20:39:06 2011 (4DDA4052)
    CheckSum:         000175AF
    ImageSize:        0000B000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

See if an update Jaksta driver is available here, and install that:
Jaksta Support

Code:

fffff880`1b15e810  00000000`00000000
fffff880`1b15e818  fffff880`03ad1139Unable to load image Rt64win7.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for Rt64win7.sys
*** ERROR: Module load completed but symbols could not be loaded for Rt64win7.sys
 Rt64win7+0x16139
fffff880`1b15e820  fffffa80`1010c000

Code:

start             end                 module name
fffff880`06645000 fffff880`066b5000   Rt64win7   (deferred)             
    Image path: \SystemRoot\system32\DRIVERS\Rt64win7.sys
    Image name: Rt64win7.sys
    Timestamp:        Mon Mar 21 23:50:32 2011 (4D8750A0)
    CheckSum:         0006FFBB
    ImageSize:        00070000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Update the Realtek network driver from here:
Realtek

The Intel card still shows as a problem, even through the driver appears updated. Leave that for now and lets make sure the network drivers are fixed.

Don't worry about cleaning our older .dmp's at this stage, I can sort through that.

I am going to assume 5 or 10 minutes does NOT equal 'solved'.
I had NOT rebooted after uninstalling Jakstra and updating Realtek, which may be an issue??

A new thing happened at BSOD, it said something about 'file to small...' switching to mini dump