So, many of you peeps, as far as I've been reading, have experienced the same pretty annoying and disturbing bug with RageHook and LSPDFR crashing
when you press Shift to trigger a traffic stop, interact with peds or access the Police Computer. Or RGH Console (F4) not appearing. I was one of them and for me I found a fix for these problems (which works permanently for me, now.) So I decided to share and maybe this will work for someone else, too. Here's what you need to do:
DELETE all of your modifications for GTA V. OPTIONAL - verify your GTA V cache through Steam. REINSTALL RAGEPluginHook and LSPDFR 0.2b with the latest versions. Make sure your GTA V has the latest version 393.4 Unblock all the files RGH needs to have unblocked. Click on RAGEPluginHook.exe (In your GTA V directory), go to properties, compatibility and make it run in compatibility mode with Windows 8 (If you're using Windows 10) ALWAYS run RaagePluginHook.exe (Or your shourtcut on the desktop, if you have one) as administrator. Run the game and try triggering a straffic stop with Shift, bringing up the RGH console or any other thing that caused crashing for you. If the above steps worked for you too, feel free to start adding your desired mods one-by-one, to check and prevent your game from crashing again if any of the other mods were causing it.
Hope this works for all of you! If not, then I'm sorry, but I won't be able to help otherwise.