Yeah, I spoke to the seller and he says the lights did do a similar thing about 1,000 miles in but it included the hand brake light and another one. So not anything to add really.
As for the tyres, if it's something Nissan UK acknowledge, shouldn't all dealers be aware of it and be prepared to fix it. A drive to St Helens would be nice (now! ) but timewise would be easier if my local did it.