I have a 1984 Kramer. It strarted life as a Focus 2000. I have changed out the non fine tune Floyd for a fine tuner back in 1989. I upgrade most of the electronics and replaced the "Focus by Kramer" logo with a Kramer logo.
It has a beak head stock but it never had a Serial number.
It was my first "NEW" guitar I got when I was 16 back in 1984.
I still have her but she's now closer to a Pacer after the mods I did on it