What document urged the king to acknowledge colonial grievances and restore rights while recognizing Parliament's authority?

The document that urged the king to acknowledge colonial grievances and restore rights while recognizing Parliament's authority is the Olive Branch Petition. This petition was sent to King George III in 1775, appealing for a peaceful resolution to the conflict between the colonies and Britain. It sought to address the concerns of the colonists about their rights and grievances while still affirming loyalty to the crown.

The Declaration of Rights and Grievances, while also addressing the rights of the colonists, was primarily focused on British actions and the imposition of taxes without representation. It was a response to specific legislative measures rather than a direct appeal to the king for reconciliation.

The Declaration of Independence, established in 1776, went much further by formally proclaiming the colonies' separation from British rule, rather than seeking to address grievances within the existing political framework.

The Declaration of Causes and Necessities for Taking Up Arms, created by the Second Continental Congress, outlined the justifications for the armed resistance against British aggression and did not seek to negotiate peace or address the king directly.

By urging the king to recognize colonial rights and grievances while maintaining Parliamentary authority, the Olive Branch Petition highlighted the colonies' desire for a peaceful resolution and demonstrated their loyalty to the crown, even amidst rising tensions.