Try uninstalling your Java from the add/remove programs and then re-install the JRE 5.12 offline version....(4th one down)
Java SE Downloads - Previous Release - JDK 5
Also try deleting your preference folder...
Fixes for Limewire when LW isn't operating as it should
If those tips do not get you connected can you post your modem/router details..It is the little unit that connects you to the internet, if you turn it upside down the name and model number should be there...