Game night riddles

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Across
  1. 2. I have lakes with no water, mountains with no stone and cities with no buildings.
  2. 4. I go through cities and fields but never move
  3. 5. I’m so fragile, saying my name breaks me
Down
  1. 1. I am alwayS hungry and will die if not fed, but whatever I touch will soon turn red
  2. 3. What has a head, a tail, is brown, and has no legs
  3. 5. I am with a neck and no head, two arms and no hands?
  4. 6. I fill up a room but I take no space