Yes, CONTEMPTS is a Scrabble word!

Letter values in Scrabble US: C 3, O 1, N 1, T 1, E 1, M 3, P 3, T 1, S 1.

Is it a valid word?

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

lack of respect accompanied by a feeling of intense dislike
a manner that is generally disrespectful and contemptuous
open disrespect for a person or thing
a willful disobedience to or disrespect for the authority of a court or legislative body