Both appear to be tied to my lockscreen. I run a random rom 3.2. I'm about to start work so I'll get that info out to you later today as well. Reboots don't bother me too much, but it would be nice to fully squash them.
Per our PM conversation, your logs didn't contain any LAST_KMSG file. I assume this means that the system crashed/rebooted so quickly that the kernel had no time to flush the log buffer to disk. Maybe your charging cable is flaky and there was a short?
Anyhow, to anyone else, the file you need to pull after experecing an unexpected reboot/shutdown is the one with "LAST_KMSG" in the file name and it will be located in /data/system/dropbox.