Regarding, (A), you're right. G and J can't ever be together, so we can eliminate it off the bat.
Regarding (C) and (D), if we want to make H move something, then G must be moving the sofa based on the first rule of the game. This forces J to be the other member of the pair since otherwise J would be left with G in the sofa group, and that can't happen (G and J can't be together). However, if J is with H in moving the table, then M must be moving the recliner, which can't happen because the recliner already has H and J. This means that we can get rid of both (C) and (D).
For (B), we can have G and M in both the recliner and table groups, with J and H in the sofa group with no issues. (B) interestingly enough is the sole answer choice that does not activate any of the conditional rules from the game.
Does that make sense? Let us know if you have any other questions!