Okay, I've read over both questions a few times and I think I know the answers:
The first question would be "Taking" because everything else in that sentence points to a past tense except for the word "taking" which is a present tense thus meaning its inconsistent with the sentence.
The second question would be "After we moved to montana" because its why they had to build the log cabin.
I hope my answers are correct and I wish you luck on your test!
i'd say it's okay to tell ghost stories to children as long as they aren't too graphic. Ghost stories can be fun to tell around the campfire and stuff.