Search and click "advanced view system settings"
Under the Advanced tab
click Start up and recovery settings
Under system failure >write debugging information
Select small memory dump(256kb) from the dropdown
and click ok
wait for your system to crash again and produce minidump files, hopefully that will provide more information on the underlying problem.
Locate the file or folder that you want to zip.
Copy the Minidump folder or dmp files on your Desktop.
Press and hold (or right-click) the file or folder, select (or point to) Send to, and then select Compressed (zipped) folder.
If that didn't work, ensure that you are using the administrator account. Or try booting your computer in safe mode. Then try to zip the files.