There used to be a way to update your purchase information with Apple in case the website doesn't have the correct information. I don't see any way to do that at this time. Your only option would be to contact Apple Support directly to see if they can update your purchase information.
If you do need a warranty repair (at least in the US), the Apple Store or an AASP should be able to upload a copy of your purchase receipt to Apple....at least they used to be able to do this at the time of a repair. Things are constantly changing at Apple so it is hard to say if this is possible due to privacy, security, & theft/fraud concerns (the miscreants out there make things difficult for the rest of us).
You can also contact B&H support to see if they can send your purchase information to Apple so Apple's records are up to date. If B&H is an Apple authorized reseller, this should have already been done, but things happen. At least B&H should be able to work with Apple on your behalf to get things right.