First, installing from a backup or by migrating will never work with Creative Suite software. You have to start with a new installer. Downloads are listed at the bottom of this link:
Download and Installation Help | Download and Installation Help
However, you haven't said what version of the operating system you're running.
If you're trying to install CS4 on Yosemite or El Capitan it probably won't work, and hasn't for most people. Your software was written much before the OS, and is not supported.