With credit to the team name combiner and Gus running it when I couldn't get it to work, let's see what there is:
L/K
G/D
G/S
C/R
Team GRDL (Girdle, suggested by Gus)
Team LGGR (Logger...?)
Team KSCD (Concede, which is not a very good name for a team)
Team LSCD (LSD, or if we want to be cheeky about it, Team Acid)
Team RGGK (Ragnarok)
Team DGKR (Dagger, if you push it)
Team SKRD (Scared)
Team DCKS (Ducks. We're disregarding the alternative)
That's all I've got so far, and I'm kinda fond of RGGK. If anybody's got better suggestions, please go ahead. Regarding leadership, I'm nominating Leona - of everyone, she feels the most level-headed. Chantou's a bit too independent and aloof to practically serve as a leader even if she has an eye for strategy, unless you'd all like a very sudden character arc for her.