Best bet in event if an accident is park, handbrake on and engine off. In that case you really cant be at fault in most cases (except if being really daft).
Insurance wont bother being involved with the fence and suspect it might not even go to the company in the end as its a lot of hassle. Done a lot more damage than that and insurance wasnt involved.
As for the agency - you exist, breath and have a licence, that’s enough to find you a new assignment although that is unlikely to be that well paid. Never been paid that for class 1 PAYE.