It looks like your security setting is too high.. I usually get a pop-up, asking if I want to run a program withan unknown certificate. It looks like your setting doesn't even ask, but denies immediatly.
I don't know where to fix that.. Try your config screen. Think it is Java-related, not sure.
EDIT: Waitwait.. The pop-up I am referring to would have popped up before you got the Java application launcher.
So that's probably not it...
Make sure to have the latest version of Java installed, that could be it.
If that doesn't work, I notice that the security alert is for something OpenGL-related. If upgrading Java does not work, try updating your video card drivers. There are some issues with older drivers and OpenGL
I've got a problem related to jogl. I get the following error message when I try to run H&H on ubuntu 9.10:
java.lang.UnsatisfiedLinkError: no jogl in java.library.path
at java.lang.ClassLoader.loadLibrary(ClassLoader.java:1678)
at java.lang.Runtime.loadLibrary0(Runtime.java:840)
at java.lang.System.loadLibrary(System.java:1047)
at com.sun.opengl.impl.NativeLibLoader.loadLibraryInternal(NativeLibLoader.java:189)
at com.sun.opengl.impl.NativeLibLoader.access$000(NativeLibLoader.java:49)
at com.sun.opengl.impl.NativeLibLoader$DefaultAction.loadLibrary(NativeLibLoader.java:80)
at com.sun.opengl.impl.NativeLibLoader.loadLibrary(NativeLibLoader.java:103)
at com.sun.opengl.impl.NativeLibLoader.access$200(NativeLibLoader.java:49)
at com.sun.opengl.impl.NativeLibLoader$1.run(NativeLibLoader.java:111)
at java.security.AccessController.doPrivileged(Native Method)
at com.sun.opengl.impl.NativeLibLoader.loadCore(NativeLibLoader.java:109)
at com.sun.opengl.impl.x11.X11GLDrawableFactory.<clinit>(X11GLDrawableFactory.java:101)
at java.lang.Class.forName0(Native Method)
at java.lang.Class.forName(Class.java:186)
at javax.media.opengl.GLDrawableFactory.getFactory(GLDrawableFactory.java:111)
at javax.media.opengl.GLCanvas.chooseGraphicsConfiguration(GLCanvas.java:520)
at javax.media.opengl.GLCanvas.<init>(GLCanvas.java:131)
at javax.media.opengl.GLCanvas.<init>(GLCanvas.java:90)
at haven.HavenPanel.<init>(HavenPanel.java:63)
at haven.MainFrame.<init>(MainFrame.java:120)
at haven.MainFrame.main2(MainFrame.java:209)
at haven.MainFrame.access$100(MainFrame.java:34)
at haven.MainFrame$5.run(MainFrame.java:257)
at java.lang.Thread.run(Thread.java:636)
So, I seem to be getting the same error, albeit only on my Netbook. I've installed the latest Java, done away with any firewalls or conflicting security settings, my clock is set right, and I have the newest video card drivers as well as having cleared my cache a dozen times over, but nothing seems to work. I can post my exact error codes, if necessary. I'm much too lazy to check bit by bit to see if they're the same as Dice's, but the error itself is the same.