Really, it's not that hard to find out this information on Apache's site.
http://www.apache.org/licenses/LICENSE And no, I wouldn't recommend distributing Tomcat with your application. If your application is well packaged and complies with the
servlet spec, then *any* server should run it, not just Tomcat.
Provide installation and setup instructions for *using* tomcat if you want, but why include it with your distribution?