Hello,
As I said before, the installation is heavily damaged. From your description even the backup from 04.04 is damaged and it will require some serious effort to have EPESI working again.
We've been doing many upgrades for several companies (including our own) for several years now and never encountered any problem even remotely similar to what you experience.
Having a Do-It-Yourself installation brings some benefits, but it's always at a cost. It requires the person setting it up to be well aware of the requirements, how to configure the server, backups management, going through upgrade procedures, etc. It's not something everyone can handle, but we've had multiple users manage all that without any serious problems. And all the problems that were a result of an error on our end were fixed promptly.
We try to provide assistance, completely free of charge, even in situations that are beyond our responsibilities, but in situations like that, I'm afraid we have to withdraw. The installation is damaged, it seems it was managed without proper conservation.
I'd suggest to switch to our hosting service, which will take a lot of your troubles away (we can also discuss restoring as much data as possible from your last installation) or you can make use of our premium support: http://epe.si/premium-support
In this thread I've already suggested solutions that you didn't seem to be keen exploring and from what I've read, these errors are beyond simple EPESI malfunction.
Kind regards,
Arek