I flashed stock 4.2.2 firmware through ODIN twice now. To make sure there was nothing wrong before. Right after flashing stock firmware, I installed PhilZ Touch 6.25.0 Recovery. In recovery, I tried installing several KitKat ROMs without incident (+gapps). But it never boots. The screen either powers off or boots to recovery. I've also tried using Dhollman KK kernel in case it was a kernel issue but that didn't work either. Not sure what's wrong.
I've tried both Philz 6.25.0 and CWM 220.127.116.11. Never any install errors, just doesn't boot. Stock firmware boots fine though.
EDIT: Even flashing stock firmware 4.2.2 (P5113UEUCMK3) through ODIN gets to bootloop at Samsung Logo now.
EDIT 2: So I can install recovery through ODIN, but installing ROMs does nothing. (Doesn't matter if it's 4.3 or 4.4. Stock frimware flashing through ODIN results in boot loop or boot to recovery as well.