Hi,
have a look at:
12:12:33,695 ERROR [org.alfresco.repo.domain.schema.SchemaBootstrap] Schema auto-update failed
org.alfresco.service.cmr.repository.ContentIOException: 06050000 Failed to open stream onto channel:
writer: ContentAccessor[ contentUrl=store:///usr/share/tomcat/temp/Alfresco/AlfrescoSchema-PostgreSQLDialect-Update-2242626767569121007.sql, mimetype=null, size=0, encoding=UTF-8, locale=en_GB]
it looks like the problem is that tomcat is trying to create a file in /usr/share/tomcat/temp/Alfresco and it's not able/allowed to.
I'm on Ubuntu (running alfresco under the distribution tomcat7) and I didn't run into that issue, so I don't know how to fix it *the*right*way*. To fix it the quick way, you could just make sure that directory exists and is writable by the tomcat7 user (or whatever user runs tomcat).
gerald