Ok...firstly your Java is a bit outdated..
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
If that doesn't help...
Try deleting your preference folder...
Fixes for Limewire when LW isn't operating as it should
Still no luck....
Well Dunno for some of the important questions isn't going to help me help you...
Who do you pay to have the internet on ??
If you turn the little box (Modem/router) upside down that you connect to, to get your internet it will tell you the name and model number for it...