I have the same issue and after running the .dmp file through WinDpg preview app I was able to get the following info. I hope this helps for correcting the buffer overrun detected by Windows. Oh and just to note this is Server 2012 R2 not Windows 8.1 running my current server.
EY_VALUES_STRING: 1
Key : Analysis.CPU.mSec
Value: 3359
Key : Analysis.DebugAnalysisManager
Value: Create
Key : Analysis.Elapsed.mSec
Value: 7411
Key : Analysis.Init.CPU.mSec
Value: 749
Key : Analysis.Init.Elapsed.mSec
Value: 5035
Key : Analysis.Memory.CommitPeak.Mb
Value: 102
Key : FailFast.Name
Value: FATAL_APP_EXIT
Key : FailFast.Type
Value: 7
Key : Timeline.Process.Start.DeltaSec
Value: 316510
Key : WER.OS.Branch
Value: winblue_ltsb
Key : WER.OS.Timestamp
Value: 2016-01-24T00:53:00Z
Key : WER.OS.Version
Value: 6.3.9600.18217
Key : WER.Process.Version
Value: 1.25.8.5663
FILE_IN_CAB: Plex Media Server.exe.6540.dmp
NTGLOBALFLAG: 0
PROCESS_BAM_CURRENT_THROTTLED: 0
PROCESS_BAM_PREVIOUS_THROTTLED: 0
APPLICATION_VERIFIER_FLAGS: 0
CONTEXT: (.ecxr)
eax=00000001 ebx=05b6fedc ecx=00000007 edx=00000000 esi=00000003 edi=05b6f43c
eip=645a84cb esp=05b6f0c0 ebp=05b6f0d4 iopl=0 nv up ei pl nz na po nc
cs=0023 ss=002b ds=002b es=002b fs=0053 gs=002b efl=00000202
ucrtbase!abort+0x4b:
645a84cb cd29 int 29h
Resetting default scope
EXCEPTION_RECORD: (.exr -1)
ExceptionAddress: 645a84cb (ucrtbase!abort+0x0000004b)
ExceptionCode: c0000409 (Security check failure or stack buffer overrun)
ExceptionFlags: 00000001
NumberParameters: 1
Parameter[0]: 00000007
Subcode: 0x7 FAST_FAIL_FATAL_APP_EXIT
PROCESS_NAME: Plex Media Server.exe
ERROR_CODE: (NTSTATUS) 0xc0000409 - The system detected an overrun of a stack-based buffer in this application. This overrun could potentially allow a malicious user to gain control of this application.
EXCEPTION_CODE_STR: c0000409
EXCEPTION_PARAMETER1: 00000007
FAULTING_THREAD: 0000136c
STACK_TEXT:
05b6f0d4 645a7dbb 4f42e2b0 05b6f43c 05b6f260 ucrtbase!abort+0x4b
05b6f108 00446e94 656f3097 05b6f43c 05b6f260 ucrtbase!terminate+0x3b
WARNING: Stack unwind information not available. Following frames may be wrong.
05b6fee8 00342de1 c672eb5a 00342da0 04ca95e8 Plex_Media_Server+0x156e94
05b6ff08 6455feff 04b2a2c0 4f42ecfc 6455fec0 Plex_Media_Server+0x52de1
05b6ff44 75966a14 04ca95e8 759669f0 1beff0d1 ucrtbase!thread_start<unsigned int (__stdcall*)(void *)>+0x3f
05b6ff58 77d8a9ff 04ca95e8 9841b8ac 00000000 kernel32!BaseThreadInitThunk+0x24
05b6ffa0 77d8a9ca ffffffff 77d6fdd3 00000000 ntdll!__RtlUserThreadStart+0x2f
05b6ffb0 00000000 6455fec0 04ca95e8 00000000 ntdll!_RtlUserThreadStart+0x1b
STACK_COMMAND: ~8s ; .cxr ; kb
SYMBOL_NAME: ucrtbase!abort+4b
MODULE_NAME: ucrtbase
IMAGE_NAME: ucrtbase.dll
FAILURE_BUCKET_ID: FAIL_FAST_FATAL_APP_EXIT_c0000409_ucrtbase.dll!abort
OS_VERSION: 6.3.9600.18217
BUILDLAB_STR: winblue_ltsb
OSPLATFORM_TYPE: x86
OSNAME: Windows 8.1
IMAGE_VERSION: 10.0.14393.2990
FAILURE_ID_HASH: {e31753ac-c98a-8055-3663-47e707543d20}
Followup: MachineOwner