Yes, HERITAGE is a Scrabble word!

Letter values in Scrabble US: H 4, E 1, R 1, I 1, T 1, A 1, G 2, E 1.

Is it a valid word?

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

practices that are handed down from the past by tradition
any attribute or immaterial possession that is inherited from ancestors
that which is inherited; a title or property or estate that passes by law to the heir on the death of the owner
hereditary succession to a title or an office or property