I have try'd easynews and one other newsserver.Non of them are working.
Other programs working ok? If they working ok, please close ABZ, rename misc subdirectory of ABZ directory to something else (you will lose all yours settings, but only temporary), start ABZ, add enter any server data (check port and number of connection) you like and try to connect. Is it working now? If it works then manually again setup ABZ, and if ABZ still can't connect close ABZ, delete misc subdirectory and rename your old misc directory (which you renamed before) again to misc, because there isn't problem with ABZ settings.