Ok, I fixed my problem. I had to install the Microsoft Visual C++ Redistributable for Visual Studio 2012 Update 4 and Diagnostic confirmed everything was great.
New problem: As soon as I pull out of the space I'm in to start patrols (after the tutorial) game crashes. New info is in the lcpdfr log file.
LCPDFR.log
Description of Crash/Problem: My problem as been going on for a couple of days now. I have tried a manual install plus the automatic install and still it says that I'm missing the msvcp110.dll and msvcr110.dll files. I tried installing the x86 visual C++ and still that doesn't work. I also tried to download the .dll's manually and place them into my system32 folder and have literally looked through 20 different forums trying to fix my problem. My game runs fine but I get the error in-game that LCPDFR wont initialize and in the diagnostic tool it tells me that I'm missing those .dll's. I don't want to fuck up my computers files so hopefully someone can help me out here. I'd be willing to get in touch and use Teamviewer if necessary.
What Version of LCPDFR: Latest (1.0d_2)
What Version of GTA IV/EFLC: 1.0.7.0
What Extra Mods are Installed: None
Attached Error Logs (lcpdfr.log, AdvancedHook.log)
Diagnostics_19.4.2015_10_6_10.log