Although this is not an ApplesSript (and I would still like to know how to resolve the question via clicking etc) there is another way to skin the cat. The application can be installed with a command line interface. If installed: you can turn NoSleep on as follows:
NoSleepCtrl -a -b -s 1,1
NoSleepCtrl -a -b -s 1,1
That is easy enough to script that I can even do it.