partially...I had to disable my firewall in order to install.
What I did was download the adom-II.jnlp and go to oldversion and get java 6 build 33 (it has to be build 25 or higher).
I picked java6 build 33 because I was afraid of java 7 being too new and the-creator said 6.
anyway I had to disable my firewall and/or allow java to access the internet (not a nice feature of adom2).
After installing java I can get that last pic about 18 out of 20 times.
The fix I did was double click on the adom-ii.jnlp that you downloaded and if it fails and gives you that pic right click on adom-ii.jnlp and say launch. Or try it the other way around right click and launch and then double click.
Not sure if this helps