Please don't post large portions of your log. Most of these errors are expected to be logged when the database is empty like it is in a new installation.
You should be able to restore a backup from SQL 2005 on SQL 2008, but you can't go the other way, ie newer version backups cannot be restored on older versions of MS SQL.
You first need to solve restoring your database, then see what other errors may happen or not.
You may need your host to un-orphan the db user after you restore it and of course you will need to adjust your connection string for the new db.
Hope it helps,