chkconfig not starting application script on bootup
chkconfig essentially makes a symlink from, say, /etc/rc3.d/S85myapp to /etc/init.d/myapp. Verify that those links exist. I assume they do, since the "chkconfig --list" is showing that they're "on".
Since you can execute /etc/init.d/myapp from prompt, but it doesn't occur during startup, my guess is that there's an issue with the PATH, or that a service that you need up and running before executing myapp is actually initializing after myapp. Remember that the scripts in /etc/rc3.d (or whatever your initial runlevel is) are executed in sort order. Verify that myapp has everything it needs to run.
(My guess it that there's a PATH issue, though)