Try registering the new iPad on the Apple site. The new serial number should be used. Go to "Register a new product" at Apple.com
I would also consider getting the extended warranty, but many people don't think it is worth it 'cuz they get new stuff before the old warranty runs out and see it as a waste of money.
But all warranties are a waste of money - until you need them.
If you buy Apple Care, for and old product, it starts at the end of the original purchase warranty. You must buy the Apple Care before the old warranty runs out. If you have a new product, there should be a new warranty period.
I would also consider getting the extended warranty, but many people don't think it is worth it 'cuz they get new stuff before the old warranty runs out and see it as a waste of money.
But all warranties are a waste of money - until you need them.
If you buy Apple Care, for and old product, it starts at the end of the original purchase warranty. You must buy the Apple Care before the old warranty runs out. If you have a new product, there should be a new warranty period.