I can't read the exact messages, but it seems to be the well known problem with TWRP on this device.
Change file system type to ext3 on /system and /cache. Revert back to ext4 after successfully having done this.
A link to the instruction?
This is where it first reported, right in this thread: http://forum.xda-developers.com/showpost.php?p=69597289&postcount=26
I had the same thing happening, TWRP didn't want to mount anything after just formatting data. I only formatted /data to ext3 and then back to ext4 and rebooted recovery to fix it. Don't think cache matters. It's a bug in TWRP I guess...
Next time I want to format data, I would do it in fastboot or adb, not in this recovery.
Maybe @lj50036 would not mind to have a look at this? Josh, you listening? Any idea why TWRP would mess up all the mount points after a format?
