I can say with 100% conviction that it is ok to reinsure with Quinn. They may be in administration but they are still doing business, in fact a friend of mine who works there gas told me they have withdrawn redundancy offers in there NI call centres due to high levels of business. I deal with Quinn myself during business (work insurance broker) and so far I've had no problems, besides if anything were to happen the insurance federation would have to either honour your insurance or insure you were refunded for any uncovered time. Once again it is highly unlikely they will be going bust if they are now trying to keep staff
Hope this helps Bear