Whenever I start up GTA V, using the Rage Hook application, and get into the game, it never shows the police badges or lets me force duty on.  I have looked at many different resources, such as YouTube and lcpdfr.com.  

You're definitely missing the LSPDFR folder in your main directory, so i'm going to go with the fact that it wasn't installed properly.

Are you using a legal version of the game?

As TheChef stated, you are missing the LSPDFR folder, please reinstall LSPDFR.

Are you using a legal version of the game?

As TheChef stated, you are missing the LSPDFR folder, please reinstall LSPDFR.

He is also missing the LMS.Common.dll from the main GTAV Directory

Hello there - Welcome, and thanks for trying out LSPDFR. We require all members to read the provided ReadMe and User Documentation before getting support. Please keep in mind that this is a beta version of LSPDFR - we cannot guarantee that all issues have been resolved. 

You can find the user manual in your LSPDFR Download folder. If you still have questions after reading the User Documentation, review the LSPDFR FAQ; http://www.lcpdfr.com/forums/topic/51162-lspdfr-frequently-asked-questions/. 

Ensure you have a folder titled "LSPDFR" and "plugins" in your root directory. 

• The plugins folder should contain the following; 
  • LSPD First Response.dll
  • A folder titled "LSPDFR"

Please do so now and return to this topic when this is done and do the following;

• Give a clear, detailed description of the problem.
• Explain any circumstances surrounding the problem.
• State what solutions you have tried.
• State which version of the game you're using (Steam or Retail)
• Post the RagePluginHook.log in a spoiler tag (Please be courteous and only include the relevant information).
• Include as much information as possible.
• Post your system specifications. You need to meet the required system specifications for the mod to work properly. 
• Post what other mods you are using. 
• Post a screenshot of your GTA V Game directory. 

 Failure to follow these instructions may result in topic closure. 

Thanks for the suggestions, guys.  I am going to reinstall LSPDFR right now.  And yes, I am using a legal version of the game