An original LP-08 rear toggle would not have the integral v-notch rear sight as part of its machining.
Some made-up Artillery's are floating around the USA marketplace that have had a LP-08 barrel and elevated sight added to a regular P-08 4" luger but have had their original rear toggle with the v-notch rear sight left in place. Others have had this v-notch rear sight machined away.
Photos of the top of your rear toggle would be useful. I suspect that is what Dwight is trying to determine for you.
BTW...your photos are a bit dark, but it appears to show a milled receiver cut that could indicate your gun's receiver was originally a DWM LP-08 receiver.