If you have the original rear opened like you said, it is an easy comparison. The difference is in the "height" of the ring gear flange in relation to the centerline of the carrier. There is slightly more than an 1/8" difference (.140" IIRC). You can lay or hold them side by side, or stand them up on a bench, the difference will be readily apparent. For the 7.5"(8.5" also) there are only 2 series and 3 series carriers, no 4 series. 4 series gears for these rears fit on the 3 series carrier.
So, you only have two choices, it will match or it won't. If the posi you have is a two series, it will hold the ring gear too far away from the pinion for it to mesh correctly, and thusly need a spacer. I wouldn't be afraid of a spacer in your case, you will break something else in the rear end before the spacer will cause a problem.
Unless someone can come up with measurements from say the end of the bearing snout to the gear flange, or a list of casting #'s, either of which is what I think you are looking to find, that's the best I can do. Have you tried any of the third generation forums? They may be more help.
What you have pictured seems to be a 2 series to my eye, ring flange is real close to side bearing, and looks to be an Auburn unit. BUT DON'T take my word for the series