Moved HDD to another server and networking wont work

The name of your network device will likely have changed. Run

/sbin/ifconfig -a

That should list all of the interfaces that have been detected. You will likely find something like eth1 in there. If you replace eth0 with eth1 in /etc/network/interfaces and then run

/sbin/ifup eth1

it should bring your network up.

An alternative is to rename your new eth1 to eth0 by editing /etc/udev/rules.d/70-persistent-net.rules and rebooting.

Note that the interface names may differ on your specific system.