Yes, SHALLOTS is a Scrabble word!

Letter values in Scrabble US: S 1, H 4, A 1, L 1, L 1, O 1, T 1, S 1.

Is it a valid word?

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

aggregate bulb of the multiplier onion
type of onion plant producing small clustered mild-flavored bulbs used as seasoning
small mild-flavored onion-like or garlic-like clustered bulbs used for seasoning

Also: multiplier onion, allium cepa aggregatum, allium ascalonicum.