Update your Java, use the JRE offline installer & remove your old Java version before you install the new one.
http://java.sun.com/javase/downloads/index.jsp

Does your computer connect to a modem or router, or does it just connect straight into the wall for internet? Have a look at any devices that your computer connects to & see if you can find a brand & model.

I can't find anything about that ISP Does the whole complex use them?

There could be a firewall associated with the complex's internet...is there a manager that you could ask?

You could try changing ports, to be honest I don't really know what else to tell you to do at this stage. Within LW tools > options > advanced > firewall config. Change LW's listening port to 64049 > Apply > ok.