What is the process to restart service with my own equipment? Is there a month to month contract?
Your best bet is to call Customer Care at 866-347-3292.
If you're referring to equipment you already have and own, you may be out of luck. I'm pretty sure the equipment must come from HughesNet at the time of service connection, whether that's leased equipment or purchased equipment.
Still, it would be a good idea to call them to find out for sure.