I haven't use the CSWtomcat6 package, but I think the service name should be tomcat6.
Anyway the following commands should tell you if tomcat is running and listening on the default port (8080)
ps -ef|grep tomcat
netstat -an|grep 8080
If it isn't running, you can use
svcs -xv <servicename>
to see more details why it fails (replace servicename with the correct name of the tomcat6 service).