Click a button on floating window using AppleScript
I just tested this on version 1.6. This code is for clicking the button "Begin Rating"

tell application "AutoRate"
    activate
end tell
delay 2
tell application "System Events"
    click button "Begin Rating" of window "AutoRate" of application process "AutoRate"
end tell


And this code is for clicking the button "Revert Ratings"

tell application "AutoRate"
    activate
end tell
delay 2
tell application "System Events"
    click button "Revert Ratings" of window "AutoRate" of application process "AutoRate"
end tell