Hey hailster. Sorry took me an extra day to get to your post here. Your specs are fine.
Its a Conflict with your Plugins it appears.
Do the following. First I want you to take all of your Plugins minus your LSPDFR and stick them in a folder of your choosing, that way you do not lose them. I want you to have only LSPDFR installed. I made a video tutorial awhile back on YouTube Here is the link where I describe what the folder should look like when installing LSPDFR, RagePluginhook, and scripthook V. The link is right near the point of all that https://youtu.be/JdY-JfJvG1k?t=12m41s Now I posted that there because some do not remember what a clean LSPDFR looks like because they have added so many things to the game (I.e. Plugins / scripts / models etc.)
Once you get to the bare minimum do this. Right click Run as adminstrator as you already do, HOLD DOWN SHIFT, wait for Rage Hook Menu to appear. Go to the Plugins Menu tab and click "Load All Plugins", it really should only try and load LSPDFR at this point. Now exit or save and let the game load. You should be able to get into the game now. Press F4 to see if RageHook pulls down, that is a good sign. Now enter police station. Now pull some cars over with Shift and arrest a few people. You will not be able to call for transport yet as you do not have Albo1125's plugins installed.
Now, I want you to start installing your Plugins just one by one or perhaps these three here as suggested in my other turtorial https://youtu.be/BVuBp2Qqx_s?t=29s That will of course get you the Police Radio that I see that you use, and Albo1125's other mods Arrest manager and Traffice Policer. Make sure those mods are up to date as well.
Play around a bit. Few pointers, If you call for a coroner, wait for the coroner to show up and are on scene. Try not to drive too far away until the bag the bodies, sometimes that will crash the game. same goes for calling a prisoner transport. Wait for them to arrive before leaving the scene. I use to get crashes all the time before I found out I was leaving the scene too early and the game was crashing and then went back to look at my logs.
Once you play for awhile and you are confident things are working now, INSTALL OTHER PLUGINS one at a time. Play a bit then install more. Only way to pin point the conflict.
But I am fairly certain that its a plugin conflict somewhere.
Good luck