Tomcat runs on about 5 ports. One for http (8080), one for https (8443), one for control (8005) and one for the proxy tunnel used by related systems such as apache httpd (8009).
Yes, that's only 4. Check the server.xml file, because I'm too lazy.
Obviously, since server.xml defines these ports you can always look at it, but there's a way to determine what process owns what port(s) via an OS inquiry. In linux, it's "netstat -lnp". It may be the same in AIX, although I'm not sure.
There are several ways to find out what's running in Tomcat. You can use
J2EE management API (I think it's JSR-88), JMX, or the Tomcat management webapp, which can be run as an actual GUI app or invoked as a web service. There's probably 1 or 2 more that I can't remember.
The secret of how to be miserable is to constantly expect things are going to happen the way that they are "supposed" to happen.
You can have faith, which carries the understanding that you may be disappointed. Then there's being a willfully-blind idiot, which virtually guarantees it.