Very nice Dave, I have 2 "J" reg 500's but they are both imports! so could the "K".
Only way is to see the V5, but if it was imported before they went fully computerised its not on there as an import.
If a vin plate is fited on RH side of headstock its definately an import but conversly just cos there isnt one doesnt mean it isnt. No 36 wont have one as it melted when it was set fire too