I would say it's an APOLLO II Bass, an obsure japanese guitar maker.
The similarities are all there. the Black headstock which is the same shape, the white block fret markers, the white binding on the neck. the pickguard is the same shape with the white pickguard outline., the white nut. So it was probably an Apollo BASS, or an similar version of this guitar. I assume APOLLO was made in the 60s. I never heard of the brand. Finding any pictures of Apollo's are hard.
Just a guess, but i thinks thats it.