I can confirm, that after transfering the backup file from the source installation to the backup directory of the target installation, restoring works like a charme. So I will search myself for the reasons of the problem. Thank you for support!
Thank you! Both methods do not work. Neither the download via URL nor the download of the locally stored ZIP. Mabe it has to do with some PHP-Settings, that should be adapted. Is there perhaps an explanation somwhere, what settings are needed?