Two things:
1. Not that we have too, but rebooting during the day takes 15 minutes. You don't have to be there once the reboot starts.
2. I am not going to sleep until you enter the computer you want to remote to and leave the username blank. I don't know why you have:
computername
computername\username
That is just wrong.
Are you trying to remote from the new machine or to the new machine? Do you have RD Gateway set up properly in Advanced field -- the only screen shot you haven't shown.
Can you actually access the new machine from the computer you are using RDP or vice versa, not ping.
Why so much talk about the router. It has nothing to do with it.
Why are you not on a domain when you have SBS 2011?