Below is a walkthrough for the locations of the relics in Chapter 5 of Valkyrie Elysium.
Find the Bloodstained Arrow
At the start of the chapter, head a short ways forward and cross the bridge. This relic will be on the bridge just before the gate leading to the town.
Find the Royal Armor
This relic can be found in the garrison, which is just past the second Storage Camp (Outer Wall). You’ll need to defeat the enemies in the area to obtain the key to unlock the door.
Find the White Dress
This relic can be found in the throne room just north of the fourth Storage Camp (Main Gate). Before reaching the relic, you’ll need to defeat the enemies in this room, including a dragon.
Find the Polypianus Flower
This relic can be found in the cathedral, which is just past the sixth Storage Camp.