What I'd do - got to one of the other machines and do ipconfig (with no switch) on that. Note down the IP Address it's using for DNS. Then go back to your wonky machine, untick the 'obtain automatically' tick box and type in the IP address in there.
Dunno why the lappy is 'sticking' with OpenDNS, but that should at least force it to use the same one as your other local machines.
(BTW, IIRC ipconfig /flushDNS doesn't cause a PC to redo it's DHCP, it just tell it for forget all the DNS results it's looked up recently and cached. Much more useful if you change the IP address of something else but a PC still wants to got to the 'old' address. I think the command for what you wanted to do is ipconfig /registerDNS)
Jon