What's the core?
Conclusion:
Kids came through the unlocked back door and broke the bottles.
Premise:
there was no sign of forced entry
Counter-example
the cat had free run of the house
Well, there is a pretty big gap here, so it won't be terribly valuable to do much considering here. Let's go to the choices with this in mind: we want to eliminate the 4 choices that support the conclusion that the kids broke the bottles.
(A) this supports the kids-through-the-back-door theory
(B) this definitely supports
(C) this supports the "kids" argument by ruling out the cat (cats don't typically open fridges)
(D) definitely supports!
(E) just because they came back later than they planned doesn't indicate that the kids broke the bottles. This is our answer.