It seems like GOM has changed the association for LNK files, which are your shortcuts.
Here is my registry entry for LNK files. Copy this text into a file named lnk.reg on your Desktop. Run the file and it will restore the registry settings. You can delete the file afterwards.
I tested this on my Windows 7 Professional 32-bit system. I give no guarantee this will work on any other OS including Windows 7 64-bit.
Windows Registry Editor Version 5.00
[-HKEY_CLASSES_ROOT\.lnk]
[HKEY_CLASSES_ROOT\.lnk]
@="lnkfile"
[HKEY_CLASSES_ROOT\.lnk\ShellEx]
[HKEY_CLASSES_ROOT\.lnk\ShellEx\{000214EE-0000-0000-C000-000000000046}]
@="{00021401-0000-0000-C000-000000000046}"
[HKEY_CLASSES_ROOT\.lnk\ShellEx\{000214F9-0000-0000-C000-000000000046}]
@="{00021401-0000-0000-C000-000000000046}"
[HKEY_CLASSES_ROOT\.lnk\ShellEx\{00021500-0000-0000-C000-000000000046}]
@="{00021401-0000-0000-C000-000000000046}"
[HKEY_CLASSES_ROOT\.lnk\ShellEx\{BB2E617C-0920-11d1-9A0B-00C04FC2D6C1}]
@="{00021401-0000-0000-C000-000000000046}"
[HKEY_CLASSES_ROOT\.lnk\ShellNew]
"Handler"="{ceefea1b-3e29-4ef1-b34c-fec79c4f70af}"
"IconPath"=hex(2):25,00,53,00,79,00,73,00,74,00,65,00,6d,00,52,00,6f,00,6f,00,\
74,00,25,00,5c,00,73,00,79,00,73,00,74,00,65,00,6d,00,33,00,32,00,5c,00,73,\
00,68,00,65,00,6c,00,6c,00,33,00,32,00,2e,00,64,00,6c,00,6c,00,2c,00,2d,00,\
31,00,36,00,37,00,36,00,39,00,00,00
"ItemName"="@shell32.dll,-30397"
"MenuText"="@shell32.dll,-30318"
"NullFile"=""
[HKEY_CLASSES_ROOT\.lnk\ShellNew\Config]
"DontRename"=""
Just a note to scutinising eyes, the second line [-HKEY_CLASSES_ROOT\.lnk] deletes the existing registry key, removing any corrupt data. The entire key is recreated from scratch.