That little black screen means that it's trying to run Java, and probably can't find it.
1) open a command console (from windows menu, select run... and enter 'cmd' without quotes and press enter.)
2) type in the command 'java -fullversion'
3) type in the command 'path'
4) you can right click on the window and 'mark' to copy the results of the 2 commands, paste them into a PM to me.
The reason that you don't get a log is because Java hasn't started yet. SSW is basically a jar file, and an associated default action is most likely 'java -jar SSW.jar' if this default action does not work, then you will get a flicker of the black window and nothing will happen. The easiest thing to do (if you don't work with java too much) is simply to uninstall java, and reinstall the latest one from Oracle. For those experience in working on the command line or with Java, it might be relatively easy to debug on their own...