BSOD randomly browsing internet; ntoskrnl.exe

Please install the Realtek network driver again.
It is the same version, but it looks like there are some updates compared with the updates date and the date of your driver.
BSOD randomly browsing internet; ntoskrnl.exe - Page 2 - Windows 10 Forums
Attachment 52831
Driver Reference Table - rt640x64.sys

Code:

fffff801`9836b4e8  fffff801`11f7ae7eUnable to load image rt640x64.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for rt640x64.sys
*** ERROR: Module load completed but symbols could not be loaded for rt640x64.sys
 rt640x64+0x1ae7e
0: kd> lmvm rt640x64
start             end                 module name
fffff801`11f60000 fffff801`12045000   rt640x64 T (no symbols)           
    Loaded symbol image file: rt640x64.sys
    Image path: rt640x64.sys
    Image name: rt640x64.sys
    Timestamp:        Thu Oct 01 12:34:33 2015 (560D0C39)
    CheckSum:         000F03D5
    ImageSize:        000E5000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Are there things you can do that do not require internet?
I'd like you to try to replicate the crash in safe mode, it makes it easier to find out if the problem is hardware related.
Safe Mode - Start Windows 10 in - Windows 10 Forums

Please scan your system files, just to make sure there is no problem according to the test.
NOTE: this test is NOT 100%, even if it says no problem is detected it is possible there is a problem.

Diagnostics Test

 System File Check

Please try following:

• Open an admin command prompt
• Copy/paste "sfc/scannow" (without quotes) and press enter
• When it finished reboot your system
• Open again an admin command prompt
• Enter sfc/scannow again

If sfc/scannow does NOT say "Windows Resource Protection did not find any integrity violation" after the second SFC, please upload the cbs.log file located at {windows partition}\Windows\Logs\CBS\, if the file is too large try a 3rd party uploader like dropbox, onedrive, google drive, mediafire etc.
System File Check(SFC a.k.a. Windows Resource Protection) needs to have your system rebooted in order for sfc to try to fix the problems that it finds.

An image file is corrupted.
I however do recommend to get this problem solved, even a picture in the system files could cause many problems.

Code:

2015-12-09 23:02:57, Info                  CSI    0000559b [SR] Cannot repair member file [l:106{53}]"MicrosoftEdgeSquare44x44.scale-125_contrast-white.png" of Microsoft-Windows-MicrosoftEdge, Version = 10.0.10240.16603, pA = amd64, nonSxS, PublicKeyToken = {l:8 b:31bf3856ad364e35} in the store, hash mismatch
2015-12-09 23:02:57, Info                  CSI    0000559c [SR] This component was referenced by [l:158{79}]"Package_816_for_KB3116869~31bf3856ad364e35~amd64~~10.0.1.2.3116869-2083_neutral"
2015-12-09 23:02:58, Info                  CSI    0000559d Hashes for file member \??\C:\WINDOWS\SystemApps\Microsoft.MicrosoftEdge_8wekyb3d8bbwe\Assets\MicrosoftEdgeSquare44x44.scale-125_contrast-white.png do not match actual file [l:106{53}]"MicrosoftEdgeSquare44x44.scale-125_contrast-white.png" :
  Found: {l:32 b:d88KqKptc/J61/qkL3yadqaJpg10SD+WBQ3BzArbiMA=} Expected: {l:32 b:VR3+fshmsSxNARCI3MhFhrszJNS2j5z4HNbWiTeYEjU=}
2015-12-09 23:02:58, Info                  CSI    0000559e Hashes for file member \SystemRoot\WinSxS\amd64_microsoft-windows-microsoftedge_31bf3856ad364e35_10.0.10240.16603_none_193be55a8ac9469d\MicrosoftEdgeSquare44x44.scale-125_contrast-white.png do not match actual file [l:106{53}]"MicrosoftEdgeSquare44x44.scale-125_contrast-white.png" :
  Found: {l:32 b:d88KqKptc/J61/qkL3yadqaJpg10SD+WBQ3BzArbiMA=} Expected: {l:32 b:VR3+fshmsSxNARCI3MhFhrszJNS2j5z4HNbWiTeYEjU=}
2015-12-09 23:02:58, Info                  CSI    0000559f [SR] Could not reproject corrupted file [ml:142{71},l:140{70}]"\??\C:\WINDOWS\SystemApps\Microsoft.MicrosoftEdge_8wekyb3d8bbwe\Assets"\[l:106{53}]"MicrosoftEdgeSquare44x44.scale-125_contrast-white.png"; source file in store is also corrupted

Please try following command in admin command prompt

Code:

DISM /Online /Cleanup-Image /RestoreHealth

If there are problems with RestoreHealth, please follow step 6 or 7 (depending on the file you have from the download) from the tutorial DISM - Repair Windows 10 Image - Tutorial

From post 32: BSOD randomly browsing internet; ntoskrnl.exe - Page 4 - Windows 10 Forums

I'm not sure if it will be a 100% possible, but try to connect each device on another USB port and see if that helps.

In this case, 'each device' is the HDD. Connect the HDD to different USB and see if the system crashes.
If the system crashes in different USB's, the connection of the HDD is faulty, in that case get another HDD and backup the data from the HDD with the faulty connection.

No dump is present, recently done a cleanup?

Does a crash occur when you don't use that 3.0 USB port?