I'm wondering about the 102709-16114.dmp file because a cryptographic driver was involved (Cng.sys).
Otherwise, 3 of the 5 memory dumps seem to point at networking components. One in particular at Rt64win7.sys - your Realtek Ethernet driver. I would suggest downloading a fresh copy, uninstalling the current copy, and installing the fresh copy.
Also, this outdated driver could be causing issues, so I'd suggest updating it also (it's only present in the first and last dump files tho'): GVTDrv64.sys Tue Sep 05 03:10:02 2006 This is probably some sort of Gigabyte driver for your motherboard - but I can't find any more information about it.
Here's the summary of the BSOD's:
Code:
Debug session time: Sun Oct 25 20:50:15.595 2015 (GMT-4)
System Uptime: 0 days 0:07:08.312
BugCheck D1, {46, 8, 0, fffff88003eb2468}
*** WARNING: Unable to verify timestamp for win32k.sys
*** ERROR: Module load completed but symbols could not be loaded for win32k.sys
Probably caused by : memory_corruption
DEFAULT_BUCKET_ID: CODE_CORRUPTION
PROCESS_NAME: System
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Built by: 7600.16385.amd64fre.win7_rtm.090713-1255
Debug session time: Mon Oct 26 20:49:40.918 2009 (GMT-4)
System Uptime: 0 days 11:21:17.635
BugCheck 1E, {ffffffffc0000005, fffff88002f885a0, 0, 0}
Probably caused by : NETIO.SYS ( NETIO!FilterMatch+7 )
DEFAULT_BUCKET_ID: VISTA_DRIVER_FAULT
PROCESS_NAME: System
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Built by: 7600.16385.amd64fre.win7_rtm.090713-1255
Debug session time: Mon Oct 26 09:27:13.927 2009 (GMT-4)
System Uptime: 0 days 0:41:07.990
BugCheck 1E, {ffffffffc0000005, fffff880009aec50, 0, 0}
*** WARNING: Unable to verify timestamp for Rt64win7.sys
*** ERROR: Module load completed but symbols could not be loaded for Rt64win7.sys
Probably caused by : Rt64win7.sys ( Rt64win7+11af7 )
DEFAULT_BUCKET_ID: VISTA_DRIVER_FAULT
PROCESS_NAME: HandBrakeCLI.e
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Built by: 7600.16385.amd64fre.win7_rtm.090713-1255
Debug session time: Tue Oct 27 09:31:59.283 2009 (GMT-4)
System Uptime: 0 days 0:02:40.000
BugCheck 1000007E, {ffffffffc0000005, fffff8000289603b, fffff88002fc3f08, fffff88002fc3760}
Probably caused by : cng.sys ( cng!GatherRandomKey+22c )
DEFAULT_BUCKET_ID: VISTA_DRIVER_FAULT
PROCESS_NAME: System
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Built by: 7600.16385.amd64fre.win7_rtm.090713-1255
Debug session time: Tue Oct 27 16:29:05.674 2009 (GMT-4)
System Uptime: 0 days 2:40:38.001
BugCheck 1E, {ffffffffc0000005, fffff88002f885a0, 0, 0}
Probably caused by : NETIO.SYS ( NETIO!FilterMatch+7 )
DEFAULT_BUCKET_ID: VISTA_DRIVER_FAULT
PROCESS_NAME: System