Those are both very handsome rifles.  When I photographed my L1A1 Brit next to my Aussie L1A1-F1, I was surprised how much the short butt and F1 flash eliminator reduced the overall length of the rifle.  I thought it was an optical illusion.  Your photo of your F1 and Canadian C1A1 8L-series again demonstrates the handiness of the F1 compared to the standard rifle.

 

Great looking wood!  As far as the NZ carrying handle, most folks (execept us FAL nuts) couldn't tell the difference among the various types of plastic carrying handles.  It's distinctive for certain. 

 

One of the ways I used to tell my M1 Garand NM rifle when I shot competition was that I'd use a particular combination of parts that would never be seen on a standard, rack grade M1.  It was very effective in isolating my rifle from all the others at a glance.  First, I used the old forged steel trigger guard with the hole in the back.  (You could use a cleaning rod section to open the trigger guard if the clamping force got to be too much on the NM rifle stock.)  The other part was a post-Korean War gas cylinder lock.  These parts have a distinctive hump that acts as a recoil shoulder for the M7A3 rifle grenade launcher.  There might be exceptions, but the likelihood of an M1 rifle going through overhaul and having both the early style trigger guard and post-Korean War gas cylinder lock is just about zero.  The last recognition point for me was my stock.  My stock had been repaired to plug to screw holes left by an M15 rifle grenade sight.  So, all I had to do was locate my rifle and check it for the trigger guard, late model gas cylinder lock, and two plugged holes in the stock -- instant recognition!