Similar issue here....
I'm having the same problem, I had my GT-N8013 running just fine with Omni ROM, booted into recovery (CWM 188.8.131.52) asked me to fix root, clicked yes tablet rebooted into ROM just fine. Then the following morning I woke up and it was stuck on the Samsung Galaxy Note 10.1 logo. I can still boot into recovery and Download mode but I'm not able to restore it back to stock or install a new Recovery through ODIN or CWM. Everything passes just fine every time but once it reboots its still stuck on the logo. I'm also unable to mount, access or format /data and /sdcard on CWM. I'm starting to suspect the eMMC is corrupt and I'll have to send it back to Samsung.If it comes to that this will be the last Samsung product I'll ever buy again.