Respective answers:

What A Silly Project

...nope, got me stuck there. One of the team?

Ostensibly, the World Association Of Robotics (WAR) but in practice I somehow doubt that

Wolverine

Well, Stomp were the first, and I dont think they entered before...but Twister were the first in the main competition and they were various incarnations of Beserk previously.

Piece de Resistance and Death Warmed Up (both great fun )

The Executioner (mark 1)

Grunt, Eubank the Mouse, (WYSIWYG kind of counts and doesnt, it was built by one of the judges (Eric Dickenson) and somehow ended up filling space in RW but wasnt a BBC entry)

You must be joking, if youre not gimme half an hour and Ill get back to you

Ants: Odyssey (although counting the RW Extreme fights Combatant may or may not be equal by now)
Featherweights: No one robot has won more than once I believe
Lightweights: Same here
Middleweights: Typhoon
Heavyweights: Chaos 2
Super Heavyweights: Only ran once I believe, Kick Robut won