Welcome to the community and thanks for posting. We'd like to help address your Xbox Live concerns. To test, are you able to access Xbox Live if you have the Xbox directly connected to the HughesNet modem?
Also, I see in your case notes that at point during troubleshooting with us on the phone, the HughesNet modem was reset to factory settings, are you still working off the original factory settings or did you make adjustments to the IP settings?
Your cooperation, patience, and understanding are much appreciated.
Thank you for your patience while our engineers work to address your concerns. Please try the steps here and let me know if they help.
Looking forward to hearing back.