Yes, PUNISHED is a Scrabble word!

Letter values in Scrabble US: P 3, U 1, N 1, I 1, S 1, H 4, E 1, D 2.

Is it a valid word?

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

subjected to a penalty (as pain or shame or restraint or loss) for an offense or fault or in order to coerce some behavior (as a confession or obedience)