Yeah, my game does that as well, shows sp stats sometimes. All I can do to get rid of it is to manually enter duty. Open up the ragehook console and type in 'ReloadAllPlugins' again, after that's FULLY done. Type in 'ForceDuty'. Does that still show sp stats?
If it does, go to the console again and type in 'ReloadPlugin' and pick LSPDFR only and then 'ForceDuty'. See what happens when you do this and let me know.
I just assumed you don't regularly restart your computer(s), not many do to be fair. And a lack of restarts can mess with things unfortunately. Now that we know you restart your PC we have less things messing with the game. You had the lspdfr gta folder in your AV exclusions. Have you also added it to windows 10's standard AV exclusions?
What happens if you run RageHook as admin?
I probably already asked this, if not, here goes. Have you tried starting gta vanilla by pressing the gtavexe?