Below is a walkthrough for the objectives in Chapter 2 of Valkyrie Elysium.
Find the Torn Flag
The Torn Flag relic can be found on the bridge southeast of the city.
Find the Knight-Commander’s Sigil
The Knight-Commander’s Sigil relic can be found in the southcentral part of town at the top of a tower.
Find the Princess’s Necklace
The Princess’s Necklace can be found near the northwestern side of the map in an alley.
Pursue Eygon
After obtaining the third relic, head to the castle then fight a group of enemies in the entrance hall. Defeat them then head to the hallway off of the entrance hall. Make sure to grab the chest containing an ambrosia before enter the room at the end of the hallway. Enter this room when your ready then defeat the enemies inside. Afterwards, you’ll be able to get the Broken Greatsword relic. Once you retrieve this item, a cutscene will trigger.
Head outside the castle
Exit the castle to trigger a cutscene leading to a boss battle. Defeat this enemy then grab the chest to receive the Fire Storm I art!