The inbound filter allows only certain IP's/computers to connect through your 4500 to the Synology.
Take a look here (I masked out my public IP's):
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If you want to access your Synology at work, go to http://www.whatsmyip.com (Write down the IP address).
Go to the Inbound filter page, and give it a name (Work/etc), select Allow under Action.
Click the first enable line, and paste in the IP address in the Remote IP Start AND Remote IP End. Click Apply.
You should see the new rule on the bottom. This will allow your remote computer through the 4500. After this, the 4500 will check to see if there is any ports redirected to a computer/device behind the 4500 (LAN). That's when you want to fill out the Virtual Server section. The only thing you want to do is change the IP address (Use the Synology IP address). The port(s) used is correct for everyone. It all depends on what you want to access (DS Photo+, Audio, DS File, and actual access to the synology website. I actually gave myself access to telnet into the Synology from work as well, which most users don't need to do.
Placing a computer/device in the DMZ, will allow ALL traffic (Every port is open to the internet) to that computer/device.
There will be NO firewall protection at all for it!! As you know, the Synology has a built-in firewall/Brute force detection, as well as a webserver. If they want to enable this, they would want to configure the firewall, set up their website/blog, and place the Synology in the DMZ.
If you are like me, and want to remote into your Synology and view pictures/stream music, transfer files, and have full control of the Synology, you don't need to put the Synology in the DMZ.
Does that help? If not, I might have time this weekend to go over your settings via teamviewer. Also, it would speed things up if we could talk over the phone.. If you are interested, we can PM the details. In order to test this, we can check on your phone (With a different IP address, or you have access to a computer with a different IP address).
I have the DS audio, and DS photo+ on my android phone. I have a static ip address for both cell phones, so I don't have to worry about the IP changing (Which cell phones always do once you close out the browser).. It all depends on what you would like to do.