Having your personal identifiers correct is important, as they are what are used to match reporting with your file. It could result in your reporting being matched with someone else's file, and vice-versa. The unique identifiers are the most important, such as SSN, but if a furnisher reports without a unique identifier, they will use other identifiers, such as full name and address, to do the match.
I would contact the CRAs and your current creditors with a correct list of your personal identifiers to ensure they are in sync.
When sent to the CRAs, include proof of identity, such as copies of IDs/bills showing your full name and current address.
