"Who is Liz and what did she want me to respond to?"
EDIT: It was Chris that responded to your post 4 months ago:
Liz is the corporate level forum Moderator and Hughes Employee that responded to your post four months ago. That post is linked to in my reply above.
She asked you in her post to perform a step-by-step a Modem Isolation Test.
"Never knew she sent me anything"
She never "sent" you anything although you likely would have received "copies" of replies posted to your topic.
The Community is not .... email support. It is web-based support.
You create a topic and Hughes employees and others post replies in your topic. You should periodically log into the Community, find your topic and respond/reply to the comments and suggestions made therein.
Your post above waves several red flags for me.
If you connect with only a wireless device then how did you setup the "Network" in the beginning without a wired device to first: create the network, second: enable wireless security of that network and third have your wireless device join that network?
I see a real possibility that you are running an "open network".
Next up is the type of device that you have that has no Ethernet port.
Is this by chance a ChromeBook?
If so, those are Data Hogs with a capital D. They "live" on the internet.
Next up, you are doing yourself a real disservice by powering down your Hughes Modem.
Doing so wipes out important Modem Log files that are needed to support your data loss support efforts. It also breaks the "Hughes Loop";
Your Modem when powered up is in constant communication with your assigned Gateway.
That "loop" consists of your Modem, the ODU, the satellite, the Gateway uplink/downlink equipment and finally the server assigned to handle your traffic:
When you power off the Modem that Loop is broken, data that was in transit such as data reporting and meter updates do not occur until contact is re-established sometime AFTER the next power up
The first thing is to perform a Modem Isolation Test by disconnecting the LAN cable between your router and the modem while leaving the modem power up. Take and save a screenshot of your usage meter and note the time of disconnection.
Wait several hours. Reconnect the LAN cable between the router and modem and immediately take another screenshot of your usage meter and again note the exact time.
Post the disconnect/reconnect screenshots along with the times here in the Community.
The Hughes Mods will check your Modem logs for the resulting 13.1.1 error code that will be set for the duration of the disconnect period. This will provide proof, of data used by the Modem, if any, with all of your Network devices disconnected.
What wireless encryption do you have enabled?
What device and OS are you using?
How did you initially create and secure your Router and network without the use of a wired computer?
What Hughes modem and plan do you have?
Edit: It was Chris that responded to your post 4 months ago.
Chris is also a Hughes corporate level employee.