Sarah, that last picture should definitely not happen. What address is your router set to? It must not be set to 192.168.0.1 as that is the address of the modem. If you still have the error when plugged directly into the modem and go here
http://192.168.0.1/ then there has to a problem with your computer or the HughesNet modem.
If you see the System Control Center at the link then at least that portion of things are good.