Not sure which version of WAS & WPS you are running but... there were some fixes for this kind of issue in WAS v 5.x.x .... check out on IBM WebSphere support site and google for any such.....
If you still can't find any fixes then I would suggest you can delete & recreate the Windows service for WAS and WPS processs...... so do that and see if that makes any difference.....
However
you should be able to start WAS & WPS from command line if not from Windows services......
Cheers,
H. Kanthi