Evan,
First off, nice to see you bought the car - congrats! =)
The ID plate that's on the left wall of the engine compartment is the standard FIAT-issued alloy tag as used on all Fiat 850 Coupes. The tag on this car should be stamped with an early-model 850 Coupe chassis code "100GC" followed by the chassis serial number. Just below that it will likely have the European Coupe engine code of "100.GC.000", then below that is the Spares number. It is a Fiat tag, & has nothing to do with Abarth. (Remember, the car was first assembled by Fiat as an 850 Coupe, then shipped to Abarth for transformation into a 1300/124).
Gil is correct: THERE WAS NO ABARTH ID TAG ON THESE CARS. Abarth did not use seperate ID tags on the 850-based cars like those that were used on the Fiat 500/600-based Abarth cars. That is why I looked for Abarth-specific body-reinforcement details in the photos when you emailed me about this car last week (which Gil also mentioned & knows about first-hand, now that he finally has a "real" car for himself - haha).
Funny about the original paint being white & not red (I told you so! LOL). As Gil stated, the white cars usually had the red lettering strip along the top of the front grille (the red cars had a grey/silver lettering strip with red letters).
The emblems on the car should be a large (~70mm tall) Abarth shield in the center of the front grille (with horizontally-striped tri-color top & 2nd series Scorpion design), a small rectangular "1300" badge on the front.driver-side edge of the hood (alloy frame with plastic insert), & the individual chromed "FIAT ABARTH 1300" letters/numbers on the right side of the rear body panel. I could not get the side-view photo of your car to download completely, so I haven't seen the other (C-pillar?) emblems you mentioned.
To answer your questions about Gil - he lives in Canada & recently bought an original 1300/124 Coupe.
Regards,
-JS.