What is the truce signed by the pilgrims following the landing?

That would be The Mayflower Compact.

What did the pilgrims sign in 1620?

Based on some of the disagreements while they were still on the ship that brought them to America, the leaders knew they needed some sort of document that would compel the settlers to work together as a team. The document was called the Mayflower Compact, and was signed before the pilgrims disembarked at the New World.

Why was the Mayflower drafted?

The pilgrims did not neccesarily have to make the Mayflower Compact, but decided to make it to have some type of order in the "desolate" land they were entering.

How did the writers or the Mayflower Compact say laws would be decided?

These laws would be decided by the majority rule if this group.

What document was written in 1620?

The Mayflower Compact was a document written in 1620 that set up the government of Plymouth Colony. Essentially, the Compact stated that the colonists would establish laws for the good of all of them, and everyone there would abide by the laws.