Hello, you are indeed correct there is no LCPDFR.log file, I had read through the thread you had linked but I must have missed it. Anyway It does seem to be an installation problem as I now have got the tool working properly. If I'm reading this right there are files in the wrong location, I will double check but I'm pretty sure they had been installed into the correct location.
BEGIN *SIGNED* LCPD First Response Issue Report
Diagnostics Tool Version: 0.4.3
Operating system: Windows7 HomePremium (6.1.1.0 Build: 7601) Service Pack:Service Pack 1
System RAM (GB): 4
CPU cores: 4
NET Framework 4.0 installed: True
Visual C++ 2010 Redistributable installed: True
EFLC - Installed: True
EFLC - Install folder: E:SteamsteamappscommonGrand Theft Auto IV Episodes from Liberty CityEFLC
EFLC - Version: 1, 1, 2, 0
EFLC - Asi loader installed: True
EFLC - Asi loader: DSOUND
EFLC - Asi loader valid: True
EFLC - C++ ScriptHook installed: True
EFLC - C++ ScriptHook valid: True
EFLC - C++ ScriptHook version: 0, 5, 1, 0
EFLC - ScriptHookDotNet installed: False
EFLC - ScriptHookDotNet valid: False
End of *SIGNED* LCPD First Response Issue Report
Digital signature: 7nvnzY9xmcO5FXKS0ii2Ug==