From tailing [tomcat-root]/logs/catalina.out, I observed that you are using a locked username "admin"
06-May-2014 16:47:41.828 WARNING [http-nio-192.168.0.51-8080-exec-6] org.apache.catalina.realm.LockOutRealm.authenticate An attempt was made to authenticate the locked user "admin"
You should try with a better(non guessable) username.
<role rolename="manager-gui"/>
<user username="TomcatAdmin" password="secpa55wd" roles="manager-gui"/>
This should definitely work for you.