You're in a level range where PLD doesn't have all its advantages compared to WAR. You get shield oath at 40 which reduces damage taken, but WAR already has Defiance which gives them a 25% HP boost.
When I came into this dungeon leveling PLD, I had half a cavalry set from WAR and HQ pieces with materia melds on them, and I thought I was getting hit hard on PLD.
Basic tips is just to improve your gear if you can (that one ring especially), try to get drops in the dungeon, make sure you have multiple enemies in front of you so you can block with your shield, and use your cooldowns when getting overwhelmed (such as using them when the adds are present on the first boss, and make sure to get them in front of you).
