Thanks for the "teamviewer" option, that may be handy to do.
After re-setting the router by sticking a paperclip in the back and holding, plus doing a few other things on the xbox side, I have my wired connection back up. The xbox is now working.
However, my Kindle is not. I can connect to my network, the kindle says it's "connected", signal strength is "excellent", however I can not connect to the internet. So it appears the DIR-655 is allowing the kindle to connect, but then is blocking it from reaching the internet.
I've deleted my network connection on the kindle, and set everything up again. Same results, connected to the network, can't connect to the internet.
Is there a router setting I should be checking to try and fix this?