Yes, RECONSIDERS is a Scrabble word!

Letter values in Scrabble US: R 1, E 1, C 3, O 1, N 1, S 1, I 1, D 2, E 1, R 1, S 1.

Is it a valid word?

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

consider again; give new consideration to; usually with a view to changing
consider again (a bill) that had been voted upon before, with a view to altering it