The key part you have missed is setting up the port forwarding (port 5003) on your router. You have to forward that traffic to the FM host computer.
After doing some research on sharing, ports, dynamic dns, etc., is it as simple as asking my ISP provider to set up port 5003 on my router (I don't think I can do that myself??) ?
You set up the port forwarding on your router, not your ISP. The user manual for your router will tell you how to do that. Your ISP allocates the public IP address that identifies your connection to the web - your router's public IP address. If this is assigned dynamically then it will change periodically. If you check the current IP address you will be able to use that to check the remote log-in until it is changed again. To avoid that problem you can either pay for a fixed IP from your ISP, or use a service like No-IP.com or dyndns.com.
You will need to set the hosting computer to have a fixed IP within your network - not dynamically allocated, for the same reason as you need to know the address of your router when remote from it, the router has to know which internal IP address to forward the traffic to. If you leave the computer's address to be assigned by DHCP then it may change if you re-start the computer.
There are many flavors of answers on this forum, Some are clear to people, others are good for others.
http://portforward.com is where you find the specifics for your router. (you must be connected to the router with a wire)
This is a stupid question:
I have a motorola modem provided by my ISP provider
and an Apple Time Machine as my wireless router.
The Motorola modem model is not listed in portforward.com's forwarding gudes for Motorola, nor is the apple time machine.
Is the modem where I set up port forwarding? or is it on the Time Machine?
If the modem, am I out of luck in setting up remote FM access? One of the links referenced above says not all routers allow the setup.
My ISP provider said 'I dont believe we do this' when I asked them to set up 5003.
Apple Time Machine is backup software.
You could have a Airport Extreme Base Station OR an Apple Time Capsule
Time Capsule Port Forwarding article http://gigaom.com/apple/how-to-port-forwarding-on-a-airport-extreme-time-capsule/
Sorry - I meant time capsule.
But the link above wasn't very useful. I have airport utility 6.1 on Mountain Lion and the screens - and fields - are quite different from those shown in the link.
So I tried this:
In system preferences/network I changed 'Configure IPv4' from 'Using DHCP' to 'Using DHCP with manual address'. I left 'Configure IPv6' at 'Automatically'.
Then in airport utility, I made a 'DHCP reservation' using the IPv4 address and added a 'port setting' for port 5003 for 'firewall entry type' IPv4.
When I tried to 'open file remote', using the external IP address as a 'favorite host', no files were available.
Not sure where to go from here.
So, you port-forwarded port 5003 to the fixed IPv4 address you allocated to the host computer? And you have sharing enabled on the file?
Are you trying the remote connection from inside your own network? A significant number of routers will not support 'hairpinning' - going out and coming back inside the network through the one router. If you have everything else st up you should try it from outside your network.
Thanks! Hadn't heard the term 'hairpinning' but I like it - very descriptive.
Thanks to all for their support through this endeavor.