So, I recently got a new gaming PC, and I always wanted to try LSPDFR. So I installed GTA, downloaded the mod, and did the automatic installation, cause I'm not much of a big time modder.  I start it up, and RAGE gives me an error: "Insufficient Permissions or Bad Anti-Virus". I have no anti-virus at the moment, and permissions don't seem to be an issue. I change the setting "Disable DirectX Hook", and it loads up fine, but all of the keybinds that go with LSPDFR do not work. I can't do anything because I am stuck outside of the Police Station pressing E.

Always use the manual installation of LSPD:FR, not the setup one.

What's the name and path of your GTA V folder?

Should I go ahead and uninstall the files from the automatic installation? Also, my directory is: 

This PC-Windows (C:)-Program Files(x86)-Steam-steamapps-common-Grand Theft Auto V

No, just overwrite if asked. 

Add it to your Antivirus exceptions. 

Okay, so I have the game working now. Starts up no problem. Unfortunately, none of the LSPDFR keybinds are working, at least from what I have tested. I can't go into Police Stations, I can't seem to open the Police Computer, the only things that work are the Esc Menu Buttons. Is this because of overlapping controls? Because I noticed that Q is also the default to change radio.

I played a little more. I made a character, and now every time I boot up the game, I get dropped ff at my last police station by another cruiser. I can get into another one, but again, none of the keybinds work. I tried changing the GTA default for the Radio Wheel in an attempt to use the Police Computer, and it still didn't work.

Update! It is working now! I made it work in DirectX 11 and Fullscreen Lock. Now I have to figure out how to Police.

Press F4 -> LoadPlugin LSPD First Response.dll ;
Hold SHIFT when Rage loads up to enter Rage settings -> Plugins tab -> Load these plugins on startup -> LSPDFR

That's how you load LSPD:FR. Once that is done, either walk to a Badge on the map, use the command GoToPD in the F4 console, or ForceDuty in the console.