Indesign CS4 + Photoshop CS5 install drivers and osx compatibility

InDesign CS4 on macOS Catalina (10.15)
Unfortunately, InDesign CS4 will not run on Catalina.
Catalina removed all support for 32-bit applications, and as far as I know - every Creative Suite installer (CS3–CS5.5) depends on 32-bit components. Even if you somehow copied the app over manually, it will fail to launch.

I don't really know of any drivers, compatibility, official workarounds.

Options (without downgrading your current macOS install)
You’ve got a few:

A. Run an older macOS in a virtual machine

• Install macOS 10.11, 10.12, or 10.13 in Parallels/VMWare.

• Then install CS4/CS5 inside that VM.
  This works reasonably well for light use.

B. Use a second Mac or external drive with an older macOS
If you have an older Mac available, or can boot an older OS from an external SSD, CS4/CS5 will still run normally there.

Recovering your Photoshop CS5 license key
If you bought it from Adobe and registered the serial at the time, you may find it:

• Log in at Adobe Account > Plans > View your products

If it’s not listed there, Adobe support probably will not reissue CS5 serial numbers anymore. Activation servers are partially shut down, so recovery may not be possible.