According to
Sony website warranty conditions, accessories are not covered. External power supply (for those smaller sets) are not excluded from the exclusion.
Your one flick a free gift? Don't think there is a chance for free replacement.
Anyway, the exclusion of accessories, is in contravention of Sg lemon law. As I understand it. All product sold (excluding perishable goods), that includes remote control, should have a minimum period of 6 months coverage.
Below is an extract from
Consumer Guides FAQ:
Under the Lemon Law, if a defect is detected within 6 months, it is presumed that the defect existed at the time of sale or delivery and the lemon law provisions apply, unless the seller can prove otherwise, or if such a presumption is incompatible with the nature of the goods (for example, perishables and food are not expected to last beyond their normal shelf lives.)