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Thanks for doing those things. Unfortunately, it sounds like something the reps will definitely have to help with. Though weather at your gateway can affect your service in the same way as weather at your own location, it's VERY unlikely that the problem is due such, especially if the outage isn't of the intermittent type that weather can cause.
With the reps being tagged in my previous reply they will be sure to see this thread and help you. Hopefully they'll reply tomorrow. They've been pretty good lately with replying fairly quickly. As mentioned, please be sure to leave the modem plugged in, as they will almost assuredly want to run the remote diagnostics on your HughesNet equipment.
Sorry I couldn't be of more help to get you up and running tonight. :(