I would not encourage the remote administration of critical services over a non-secure channel. Setup a VPN infrastructure (if there's isn't one) and do the remote administration over this VPN channel. VPN creates an encrypted tunnel and will provide a secure communication between your home machine and the Target host. On the Network side, always follow a layering approach to secure your network. Basic filtering with NAT on the router followed by a Firewall and IDS is always a good approach.
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