The missing piece of the puzzle is what port does "remote administrator" use?
You have a working example, Remote Desktop (RDP) uses Port 3389
Code:
iptables -A FORWARD -i eth1 -o eth0 -p tcp --sport 1024:65535 -d192.168.1.54 --dport port_number -j ACCEPT
iptables -A FORWARD -i eth0 -o eth1 -p tcp ! --syn -s 192.168.1.54 --sport port_number --dport 1024:65535 -j ACCEPT
iptables -t nat -A PREROUTING -i eth1 -p tcp --sport 1024:65535 -d 59.144.124.51 --dport port_number -j DNAT --to-destination 192.168.1.54