Sorry that you are seeing this issue with MyEclipse.
Can you answer some more questions for me ?
1) Can you share your Build ID from Help > About MyEclipse Enterprise Edition > Build Id ? Paste the Build Id here.
2) Have you setup any other software to use port 8080?
The Netstat command can list currently used ports, which might be helpful if you suspect an application is clashing with another one on an active port. Use the -an switch to show all connections and listening ports in numeric form. This would give you PID. Next use the windows task manager to check which program is using this port.
Alternatively, you can configure your tomcat to run on a different port. If you are using sandbox tomcat, you can change the port number of tomcat here - open MyEclipse IDE, from menu options click on Window > Preferences > MyEclipse > Servers > Integrated Sandbox > MyEclipse Tomcat and change the port number on the right hand pane.
3) If there is another software running on port 8080, you either stop it and run the MyEclipse Tomcat or configure the MyEclipse Tomcat to run on a different port as mentioned above.
Let us know how this works for you.