Not sure how significant the 500 miles will be here. It is a fair bit of milage and I wonder if they could say it's wear and tear for a car of this age? Equally you'd expect a car you juat bought to be relatively trouble free. If it just a pipe that's popped off or split then the legal advice might be to get it fixed because it might not be considered a significant fault.
Yeah I mean, the garage also say they serviced it and have put a stamp in the book, when I collected it... So I think I can also argue additionally, that it's broken after they've serviced it and guarenteed it defect free, but i'll defer to the laywer on that one tomorrow.
Again, the 500 miles as far as I'm aware, boils down to "fit for purpose" as I'd expect a car of that type, to be able to drive 500 miles without breaking, but again - another question for the lawyer...