Sounds like a scammer.
Never, ever tell anyone over the phone “you have the right person”....never, ever tell anyone your date of birth or social security number. Never, ever admit to anything over the phone. Attack! Be beligerant if you have to. Nasty if you want to.
I agree. There's a Ukrainian cyber-supercriminal named Leo Kuvayev (wanted in Massachusetts for at least the last 15 years for spamming) who likes to do crap like this. Term of art is "fishing". Give him the last four digits of your Social and he'll zero you in and cut himself a nice, new, American Express Gold Card in your name. Enough personal info, and he can cut a new debit card on your Chase Bank account. With those two items, he'll be backing a new Bentley R off the showroom floor down in Boca Raton and have it on an air freighter to Europe by midnight.