Although the crash dumps seems to directly blame the LAN driver, Norton 360 is also involved in the crashes.
Please try the below steps one by one.
fffff880`0e89e988 fffff880`01ceb0fd tcpip!IppReceiveHeaderBatch+0x38d
fffff880`0e89e990 fffff880`01dfab90 tcpip!Ipv4Global
fffff880`0e89e998 fffff880`063b7598Unable to load image \SystemRoot\System32\Drivers\N360x64\1501000.012\SYMNETS.SYS, Win32 error 0n2
*** WARNING: Unable to verify timestamp for SYMNETS.SYS
*** ERROR: Module load completed but symbols could not be loaded for SYMNETS.SYS
1. Update LAN diver.
First uninstall currently installed version of Atheroz LAN driver from Control Panel. If not listed there, use Device Manager --> Delete driver option.
Like this :
After rebooting, download and install the latest version from http://ftp.hp.com/pub/softpaq/sp58001-58500/sp58372.exe
2. If updating driver can't solve the BSOD, please uninstall Norton 360 completely from the system as a test.
Please report your findings with next reply.