T250K, there were no full floater PE 250 or 400's the only full floaters were the 175 82-84. tail light should have originally looked very similar to a TS 185ER one, but depending on the origin of your particular bike it may have still only had the X model rubber light. i think they stepped up ADR requirements in 82 and thats why they had the large metal body tail light.
if you still have the metal reinforcement plate under the rear fender, that will mean it had the big light fitted as this support was to help carry the extra load of the heavier light. if you send me some photos sometime i will point out a few other things to you and see how it compares to my Z.