The content of your log is partially interpreted as formating codes by the forum software...
You might want to use the "pre-formatted" tag on that part of your message...
As for the reason of your problem I tend to agree with @tonyclewis...
As for System Admin showing an old version there are scripts that can be manually run to automatically upgrade from one version to the other (taking care of not forgetting any) or System Admin Pro can do that for you.
I am not sure though how you migrated from FreePBX 12 to FreePBX 13 (ie was it supposed to only change the FreePBX version or the distro version as well) and I am far from an expert on those scripts so if you still have this problem after making sure your modules are up to date I would suggest creating a new message thread and hopefully someone who knows those scripts well (like a dev) will pitch in...
I would suggest you make a backup before doing anything else...
Good luck and have a nice day!
Nick