Is there a single word for a document containing an individual's contact information?
Solution 1:
You could use "my card", making a joking metaphor of a card containing contact details (these days normally a "business card", but gentlemen had cards in the days when gentlemen would not be so crass as to discuss business).
Most often used is either "Contact" or "Contact Us"/"Contact Me"/"Contact [Your Name]".
Solution 2:
One idea just came to mind: dossier.
Not quite right, but may spur a better idea!