Try these fixes one by one and see if they help...
Try uninstalling all versions of Java from the add/remove programs and then re-install the JRE 5.11 offline version....
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11

Try deleting your preference folder/s...
Fixes for Limewire when LW isn't operating as it should

I have also looked up your ISP and many suggest that is does block p2p traffic...

Slyck News - UPDATE - Numerous Mediacom Customers Without P2P Access
ISP's Blocking P2P Use? - Mediacom, Insight users face mystery blockade - dslreports.com
[RANT] Mediacom blocking P2P traffic - Dont waste your money - dslreports.com

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