Hi and welcome to the world of the BB300!
I have had three of these in all including one fretless (all lefties). I now only have one though, I sold the fretless and gave one of the fretted ones to a good friend.
I have kept what I considered to be the best of the ones I have had and it is identical to the one on the right of your photo. The bridge, pickup configuration and body shape are the same. Mine was bought by the original owner in 1979. The one on the left of your photo is identical to the fretted one my friend now has. The bridge was much lower quality on mine, the pick ups routed the other way round and the body shape was different like yours and much heavier than my original one. I cannot remember if mine had the tuning fork logo but the one I still have does not.
So, I would say that your latest purchase is an original BB300.
I wouldn't part with mine, it has been the most used of all the basses I have owned and would recommend the early ones highly. Why anyone would pay £1000 for a 70's Fender P when you can get one of these for £100ish is beyond me... but then that has never stopped me spending £1000 a time on basses now I think about it :-)
How are the tuners on yours? Mine are well shot now but being such nice old nickel ones I cannot bring myself to change them. I undersand they were always a weak point on these basses.
Cheers.
Steve