Question

What is Lincoln asking of people in this address?

that they carry on the victory gained by the soldiers at Gettysburg

that they continue fighting the Confederacy

that they bury the people who died at Gettysburg
It is for us the living rather to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us … that these dead shall not have died in vain, that this nation under God shall have a new birth of freedom.

—Abraham Lincoln
The Gettysburg Address

Answer 1

He is asking people to dedicate themselves to continuing the soldiers’ work so the dead “shall not have died in vain” — i.e., to carry on the victory and purpose won at Gettysburg.