Wow, thanks for all the information so far.
First off, it is indeed a K100RS, the serial# is 0040830. Built in August of 1984.
Second, the shock that's on it, I couldn't find a part number easily last night, but I saw 'SHOWA B007' on it. A quick googling of that turns up a K1100 shock from the 90s. The shock is roughly 15" eye-eye.
As far as I'm aware, the shock on a 2v K100 should be 14".
Using Real OEM, I can get the parts diagram for the rear end, including the shock, but it doesn't have the part number for it.
I'm mostly interested in just getting a decent shock, doesn't have to be OEM(from my reading, it sounds like I'd be better off with something else, anyways)
Thanks again!