For what it's worth I was having the same issues. I ended up deleting the Profile folder which the game uses for saves, settings, etc. I then forced windowed mode and DX11. This got LSPDFR to finally work and I was able to create a character and go on patrol. I decided it was time to stop looking at a tiny box and adjusted graphics (which stated the game had to be restarted). Ever since then back to crashing every time.
I'm thinking there may be some bug with LSPDFR and the graphics engine - which is why others have gotten it to work - by forcing DX11 and windows mode. Perhaps reverting to default settings will allow it to work.