Rabbit are an odd grey area because they are classed as both I believe
As for the police, I always make a point of going and saying hello to THEM if they happen to stop, the officers that run the farm watch scheme round my way I drove mad until they came round to see me.
I explained what I do and where I go and said that I wanted to meet them because I didnt want any hassle and this way they know my car and know who I am....... they were happy with that, drunk their tea and f****d off.
Never had a problem with them at all
Personally, I would go into the local station, tell them you go