Do you have the full version of Apple Remote Desktop
or just the version that comes with each Mac?
ARD does not work too well over the internet, wireless or wired, but performs adequately over a LAN.
I have had more success with a VNC client, like VNC of the Sea, when attempting a connection over the internet than I have with ARD.
Another point, do you have your home router configured to pass ARD calls from outside to a specific computer?
That needs to be set up.
Also, you will need to know the outside IP address of your Router, the IP address that your ISP provides, assuming that you do not have a static IP address.
Trying to connect to a specific machine name is not going to work over the internet as no DNS router has any idea where the computer you are trying to contact is located.
When you are on your home network, you are not actually going through your router as such and so the details that are contained in ARD are valid.
Hope that helps a little
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