Yes, COURTS is a Scrabble word!

Letter values in Scrabble US: C 3, O 1, U 1, R 1, T 1, S 1.

Is it a valid word?

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

an assembly (including one or more judges) to conduct judicial business
a room in which a lawcourt sits
the sovereign and his advisers who are the governing power of a state
a specially marked horizontal area within which a game is played
Australian woman tennis player who won many major championships (born in 1947)
the family and retinue of a sovereign or prince
a hotel for motorists; provides direct access from rooms to parking area
a tribunal that is presided over by a magistrate or by one or more judges who administer justice according to the laws
the residence of a sovereign or nobleman
an area wholly or partly surrounded by walls or buildings
respectful deference

Also: royal court, margaret court, motor hotel, motor inn, motor lodge, tourist court, court of law, court of justice.

Not playable in Scrabble US: LAWCOURT.