Your Purchase History only covers the current year, or either of the two most recently completed calendar years. The default view is the last sixty days.
You may be able to spot some transactions on your feedback page if you exchanged feedback.
You can request a report of your older transactions here:
Reports take a week to generate, and then you must use the resulting link within another week before it expires. Transaction data is quite basic: item name and number, date, price, shipping, seller username. No pictures or descriptions.
If you purchased a third-party warranty, contact the warranty service directly.
eBay's money back guarantee, which is not a warranty, only applies in the first thirty days after receipt of the item.
Manufacturer's warranties typically only apply if you purchase the item from an authorized dealer; check with the manufacturer to see what your options are.
A warranty is only as good as the reputation of whoever offers it. A claim of a two year warranty made by a random seller on eBay is not worth much. Neither you nor eBay can force the seller to honor the warranty if the seller disappears or ignores you.
You may have some protection from PayPal or your payment method; PayPal and many credit cards may offer up to six months protection for your purchases.
