Yes, BECKETS is a Scrabble word!

Letter values in Scrabble US: B 3, E 1, C 3, K 5, E 1, T 1, S 1.

Is it a valid word?

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

(Roman Catholic Church) archbishop of Canterbury from 1162 to 1170; murdered following his opposition to Henry II's attempts to control the clergy (1118-1170)
(nautical) a short line with an eye at one end and a knot at the other; used to secure loose items on a ship

Also: thomas a becket, saint thomas a becket, st. thomas a becket.