It sounds like you are using the Motorola 2210, but the product can vary a bit depending on where it is sold.
I would first power down the complete network. Wait a moment and start up the modem first and let it run for a few minutes. Plug the ethernet cable from the modem directly into your computer and make sure that you can open your browser and get a good internet connection. If yes, that confirms that the modem is working correctly and you can move to the AEBS.
If you want to use the modem with its current settings, you'll have to click "ignore" when you see the Double NAT message displayed from AirPort Utility. As I mentioned earlier in this post. Double NAT is a common network error, that can often be ignored on most home networks, to a real problem with some devices that require a different type of NAT setting to function correctly.
What is strange is that nothing i know of changed, but suddenly i get this error! The intial error was somethig to do with "the public IP address is already in use" and it asked me to change the ranges of the publick ip addresses
Haven't seen this one. Even if you wanted to, you can't change the range of public IP addresses, you can only change the range of "private" addresses on your
local network. These are the ones with the 10.0.x.x numbers.
Leave the iMac that is set for 10.0.1.200 off while you try to bring the rest of the network up. If everything looks good, then power up the iMac to see if it will connect correctly. Unless there is a specific reason that you have it set to connect at specific IP address, I would let it connect automatically using DHCP. Very few devices need a "fixed" IP address, so no reason to set that up if it's not needed. But, also no reason to change if it is working and you want it set up that way.
I think things work more reliably when the modem handles the PPPoE service, so I would try that first to see if you can get things going again. Sometimes, a simple complete power cycle will get everything back up when there has been an interruption in the Internet service. To do that, just power everything down, start the modem first, then the AEBS and devices all one a time waiting a moment or two for each device to power up.