Hello,
Have you installed LSPDFR troubleshooter? if not I would recommend installing this as this would identify any files which need updating which allow LSPDFR to function, in a way it's a great way to rule out whether its LSPDFR or the plugin you have installed. A simple way to tackle this is to uninstall PoliceSmartRadio and reinstall the mod again ensuring you follow the instructions carefully, always ensure to back up your files before you install anything new to your game.
I've had a look at your log file it seems to me that it does load up successfully which suggests to me you have installed it correctly, but then your complaint lists that whenever you come up to configuring the buttons it crashes. If you know how to maybe you could configure your buttons manually I think without having to go through to that menu if you want to take this route instead.
Keep me updated.