Tried both blank.war and mailreader.war applications. Result both failed. Try to start using Tomcat Manager. Result: FAIL - Application at context path /myMailreader could not be started.
You're going to have to give us some more information. Have you checked the tomcat logs for a stack trace so you can see what's going wrong? Did you install Tomcat through the RedHat installer or did you download Tomcat from Apache? When I set up Tomcat on Ubuntu I had to change the security settings on Tomcat so it could write to directories other than the default. Have you checked whatever resources RedHat has (forums, mailing lists) to see if there are additional steps for setting up Tomcat?