You've got a lot to learn about Tomcat (we have a forum for that, incidentally!)
Tomcat is technically an Application Server, but Tomcat and Jetty don't implement the full
J2EE or JEE stacks, just the servlet/JSP functions. And some JNDI. And Database connection pools. Some other webapp servers, such as older versions of
JBoss, actually embedded copies of Tomcat or Jetty into themselves to provide their servlet container functions.
And no, there aren't plugins for Tomcat to do that kind of stuff. Tomcat comes already functional as a servlet container.
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.