Yes, HAMLETS is a Scrabble word!

Letter values in Scrabble US: H 4, A 1, M 3, L 1, E 1, T 1, S 1.

Is it a valid word?

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

a community of people smaller than a village
the hero of William Shakespeare's tragedy who hoped to avenge the murder of his father
a settlement smaller than a town