I couldn't find any related entry in the log for LSPDFR crashes.
Do you have "crash to desktop" (CTD) or just LSPDFR crash?
If it's CTD, most probably it's caused by your mods (texture or models) which is corrupted and caused memory leak.
Thing that you can to try:
Use a good gameconfig.xml
Also, try to reduce the number of installed plugins (RPH & LSPDFR plugins)
Download ped & vehicle image files from Computer+ download page. It's separated from the main package.