The receipt pic does show the SimCity base game so that's good. And yeah - if you had a cracked version it is probably preventing the install. You will need to also fully remove everything associated with the other version, including the SimCity folder in the My Documents folder.
After you do the Origin & old game uninstall, you also need to check your EA account profile & match the regional settings to the language which you want the game to install.
I noticed the first part of your install log was trying to install the Hungarian version, but the last few attempts were US English. When you go to install the game, it will offer the language options based on your profile's settings. Check at profile.ea.com before you try to install.
Good luck, hopefully this gets resolved 