I recently went through this, actually, purchasing a copy of Quickbooks Pro that was not needed by a family friend. They HAD already registered the copy with Intuit. After installing the software, with the correct registration and serial key and everything, it informed me that the registration information was invalid (?) so I contacted Intuit directly. Turns out, Quickbooks, once registered with their company, cannot be re-registered to a different company name at all. It is actually a breach of the terms of use to resell a copy of Quickbooks that has been registered.
I'm not sure if you will run into this yourself, you may not if it is registered again after installation directly under the same information it was initial registered with Intuit.