§ 7551. Applicability. The provisions of this article shall apply to all claims for damages because of injury or death resulting from health care or treatment rendered or failed to be rendered to enrollees and other covered family members of health maintenance organizations and all other claims, cross-claims, counter-claims, and claims for contribution and indemnity arising from claims subject to agreements to arbitrate made pursuant to § 4406-a of the public health law and to arbitrations authorized pursuant to section thirty hundred forty-five of this chapter.