Your main task is to kill the enemy general and win the battleground as fast as possible. The faster your team burns through the match, the faster you can collect your bonus honor, tokens, and advance to the next game. You should always be working toward slaying the enemy general. This is achieved by fighting your way across the map, taking over graveyards, and destroying enemy buildings.
You also want to earn as much honor as possible per game that can be redeemed for better equipment. You gain honor by destroying towers, killing enemy players, killing enemy NPCs (captain), and by defeating the enemy general. You will have more honor if you have destroyed all the towers and prevent the enemy from destroying your towers.