Can you solve these riddles?

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Across
  1. 3. I melt away , but not as fast as ice-cream. The more I melt, the more I smell. What am I?
  2. 4. I can fly but I have no wings. I can cry but I have no eyes. Wherever I go, darkness follows me. What am I?
  3. 5. What loses its head in the morning but gets it back at night?
  4. 6. I disappear the moment you say my name. What am I?
  5. 7. I never ask questions but I am always answered. What am I?
  6. 9. I can be written, I can be spoken, I can be exposed, I can be broken. What am I?
  7. 11. In the first 5 letters people eat me. If you take away the first letter (of the first 5 letters), I become a crime. Take away the first 2 letters (of the first 5 letters) and I'm an animal. I am often mistaken for an orange. What am I?
  8. 13. Feed me and I live. Give me a drink and I die. What am I?
  9. 14. You fight over me in a game of war. You can pull and tug but I will never break. What am I?
  10. 15. If you have me, you want to share me. If you share me, then you haven't got me. What am I?
Down
  1. 1. What begins with a T, ends with a T, and has T in it?
  2. 2. People buy me to eat, but never eat me. What am I?
  3. 3. I can multiply, divide, add and subtract. I am never wrong. What am I?
  4. 6. I walk with you almost every day, yet you never notice me. You step on me, but you never apologise to me. What am I?
  5. 8. A man shaves several times a day, yet he still has a beard. Who is this man?
  6. 9. What belongs to you but others use it more than you do?
  7. 10. You are my brother, but I am not your brother. Who am I?
  8. 12. I can be either a profession or something you wear. What am I?