You have hit it!
After export and studying this structure, I understood WHAT MIXTURE is in my database.
When changed/uniform cms_cpg_install and cms_modules at the same code (this was a clever advice of my friend), the upgrade procedure has run till the end correctly.
However the pictures remained hidden. No harm done...I think It will be solved!
THANKS for pointing me at the right direction.
I have never taken care about table structure in PhpMyAdmin before
I am only experienced user... not experienced
Now I am in slight troubles... cannot close the maintenance mode and run admin.php ...but it is probably to be found in forums advises...
PM sent...to see this mismatch. I am awaiting your comments.
My first idea is to change the text of SQL script with one * utf8_unicode_ci * and Import/rewrite the old database and then run the upgrade again...