Diana can potentially one shot dispatch Billy with the lasso if she entraps him with it and asks "What's the name of the Wizard which gives you your power?"
team 2. Team one consists of
Superman G.L Hal&Wonder Woman.
team 2 has Captian marvel who basically is another version of supes with one key factor. Magic. Although DC would never let Supes lose (unless it was doomsday of course) Billy has been the closes to beating him.
Hal pwns all lanterns!
then theres manhunter vs wonder woman.
Gonna go with Martian Manhunter. Intangibility should allow him to pretty much kick the crap out of her.
Superman can beat anybody on Team 2 with Billy being the toughest match for him. Wonder Woman would beat anyone on Team 2 and could potentially remove Billy from the equation via lasso of truth shenanigans (the lasso has worked on Cap twice). Hal is also better than John. And finally, the members of Team 1 all have worked with one another and to a greater degree than those of Team 2.
I don't think it would be Rolfstomp, but I don't see Team 1 losing once if I'm honest.