Before I forget it, please remove the ASUS software too, it uses outdated drivers and it also has some chance of causing BSOD's.
A network driver has been flagged.
Check Realtek for driver updates.
Because in 1 dump there is some activity that might point to a faulty/failing hard drive, please test your hard drives.
6: kd> lmvm rt640x64
start end module name
fffff800`22670000 fffff800`22749000 rt640x64 T (no symbols)
Loaded symbol image file: rt640x64.sys
Image path: rt640x64.sys
Image name: rt640x64.sys
Timestamp: Tue May 05 18:21:03 2015 (5548EDEF)
Translations: 0000.04b0 0000.04e4 0409.04b0 0409.04e4
With SSD, only run chkdsk!
HDD & SSD TEST
Run SeaTools to check the integrity of your HDD. SeaTools for DOS and Windows - How to Use - Windows 7 Help Forums
Do not run SeaTools on an SSD as the results will be invalid.
Run chkdsk Disk Check - Windows 7 Help Forums
Check WinpkFilter for driver updates,
ndisrd ndisrd.sys Thu Feb 21 03:40:15 2013 (5125890F) // WinpkFilter driver
mbam mbam.sys Wed Sep 03 19:50:25 2014 (540754E1) // Malwarebytes
avkmgr avkmgr.sys Mon Sep 16 13:14:23 2013 (5236E80F) // Avira
ASUSfilter ASUSfilter.sys Thu Mar 28 18:35:09 2013 (51547F4D) // ASUS USB driver
asmtxhci asmtxhci.sys Fri Aug 16 21:28:42 2013 (520E7D6A) // ASMedia USB driver
asmthub3 asmthub3.sys Fri Aug 16 21:28:54 2013 (520E7D76) // ASMedia USB driver
Update Malwarebytes and Avira,
Check ASUS and ASMedia for driver updates for the USB drivers