Android SDK Can't Find android.bat?
It's because it's looking for a relative path from the .../sdk/tools/lib/ folder, as that is where you are running the exe from.

I have not run Windows in a while, so bear with me, but if you open a command line, navigate to the .../sdk folder, then run the SDK manager from there by typing

tools/lib/SDK Manager.exe


I suspect it will work.

For easier access, you can create a shortcut to the SDK manager on the desktop, open the properties of the shortcut and change the 'Start Directory' (?) to the base .../sdk folder. Let me know if this does not work.