The first and most important question I need to ask of you is this:
Who did you register the product with ? Was it the seller (Choice) ? Or was it the manufacturer (Samsung) ? Is the laptop to which you refer a new one, or is it reconditioned ?
Secondly, have you retained a copy of the written Guarantee ? If so, read the small print. Is there there slightest doubt as to how the defect occurred ? If you are absolutely satisfied and confident that the laptop is a new model, previously unused, and that the defect has occurred at the manufacturing process then your claim under your statutory rights is against SAMSUNG.
If the laptop is a reconditioned one, previously used, then you are highly unlikely to have any form of written Gurarantee of any worth in law, and you would need to rely entirely on the goodwill of the seller (CHOICE).