I can't help you with your crashing issue, other than suggesting you remove java because it is notorious security holes. If you wish to play against a computer opponent install gnuchess or pychess along with the stockfish engine.
"Vs. Computer" java applet crashes on Ubuntu

@RyanSpeller- Thanks for the report. Can you please let me know what version of Chrome and Firefox you're using? Did this just recently become an issue?
Hi Jaclyn, it's been an issue for as long as I can remember.
Chrome: Version 25.0.1364.160 Ubuntu 10.04 (25.0.1364.160-0ubuntu0.10.04.1)
Firefox: Mozilla Firefox 20.0 for Ubuntu
Using both Chrome and Firefox on Ubuntu 10.04, I've been experiencing a crash immediately after visiting the "Vs. Computer" page. Looks like a null pointer issue. The crash generates the following java debugging information:
java version "1.6.0_27"
OpenJDK Runtime Environment (IcedTea6 1.12.6) (6b27-1.12.6-1ubuntu0.10.04.2)
OpenJDK Server VM (build 20.0-b12, mixed mode)
java.lang.NullPointerException
at javax.swing.SwingUtilities.appContextGet(SwingUtilities.java:1858)
at javax.swing.SwingUtilities.getSharedOwnerFrame(SwingUtilities.java:1828)
at javax.swing.JWindow.<init>(JWindow.java:185)
at javax.swing.JWindow.<init>(JWindow.java:137)
at net.sourceforge.jnlp.runtime.JNLPSecurityManager.<init>(JNLPSecurityManager.java:121)
at net.sourceforge.jnlp.runtime.JNLPRuntime.initialize(JNLPRuntime.java:238)
at sun.applet.PluginAppletSecurityContext.<init>(PluginAppletSecurityContext.java:245)
at sun.applet.PluginMain.main(PluginMain.java:109)
Something very bad happened. I don't know what to do, so I am going to exit :(