That's a newer Superstar kit. From the last 10 years or so. The oldest drum I can see in the photo is what looks to be a Red Badge Tama Swingstar. But the long lugs, those never came on older Superstars. I'm also fairly certain that by 1987 Superstars were no longer in production ( think 86' was the last year ) as Tama had their Artstar lines and were in development of the Starclassic drums.

Thanks! No wonder I couldn't find it in the 80's/90's catalogues. I think she's just a little too young for me ;)