Adobe Premiere Elements 11 Crashes when Rendering a Project

You also have a WMI error
which actually happened first when you look at the time.
WMI error was at 9.45
then look at the  Adobe Premier time>9.49
5 minutes later

Take a look here regarding the WMI as it could be an access without permissions  problem
quote>Sounds like something attempting to access WMI does not have the correct permissions to a namespace:
Windows 7 64bit: Event 10 WMI freezes computer
http://social.technet.microsoft.com/Forums/en-US/w7itprogeneral/thread/694f6cf7-0eba-4200-bd39-ea63ad3bfb60

I ran the fix it utility from Microsoft (found here: http://support.microsoft.com/default.aspx?scid=kb;en-US;2545227) to resolve the WMI error.  However, I still get the same error.  Attached are the event log errors and warnings we encounter.
New-Event-Log-Warning-1.png
New-Event-Log-Error.png
New-Event-Log-Warning-2.png

On the OMCI warning
A solution was posted by another member that asked about this
Please read first
Disk free space has dropped below the minimum threshold.
https://www.experts-exchange.com/questions/20876874/Disk-free-space-has-dropped-below-the-minimum-threshold.html

his solution to fix this error was to>
create the registry Key
HKEY_LOCAL_MACHINE\SOFTWARE\DELL\OpenManage\Client\SysInfo
Make a DWord value called HDDThresholdValue and set it to 0

On to the next>
faulting module path c:\windows\system32\dgapi64.dll
DgApi.dll is a Windows DLL file. DLL is the abbreviation for Dynamic Link Library. DLL files are needed by programs or web browser extensions,
DgApi.dll is part of Digital Guardian and developed by Verdasys, Inc. according to the DgApi.dll version information.
DgApi.dll's description is "DgApiMon Dynamic Link Library"
http://www.file.net/process/dgapi.dll.html
At a guess !!!!!
putting two and two together
which internet explorer is Adobe accessing/using?
You have two versions on your windows 7 x 64?
Please use the 32 bit for compatibility.
You may need to set the 32 bit as default browser.
Worth a shot.
http://answers.microsoft.com/en-us/ie/forum/ie8-windows_7/32-or-64-bit-ie8-should-i-use-the-64-bit-version/8061550d-3264-4354-ab7e-dbbfe2f37ca3
http://4sysops.com/archives/internet-explorer-9-32-bit-vs-64-bit-part-1-download-and-default-browser/

It provides the resolution completely.  This appears to be an issue on only some computers.