Big thanks for checking my issue and helping me.
I have one copy of the site on my localhost machine... and I have the same problem as on live server migrating additional photos, although safe_mode is turned OFF on my local server....
But the good news is that i managed to migrate additional images somehow by manipulating database in phpMyadmin. Yes, it took me whole night untill 5 AM but finally i managed to solve this:)
Thanks one more time for everything.