Yes, CARTER is a Scrabble word!

Letter values in Scrabble US: C 3, A 1, R 1, T 1, E 1, R 1.

Is it a valid word?

CARTER is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

Englishman and Egyptologist who in 1922 discovered and excavated the tomb of Tutankhamen (1873-1939)
39th President of the United States (1924-)
someone whose work is driving carts

Also: howard carter, jimmy carter, james earl carter, james earl carter jr., president carter.