Fagan's festive fun

12345678910111213
Across
  1. 2. secure hair with this, with 6 across and 7 down
  2. 4. looker, perhaps, with 12 across
  3. 5. transport for the road
  4. 6. follow closely, like a detective
  5. 8. whirling motion, with 6 down
  6. 10. iron, for example, with 7 down
  7. 12. perceive with awareness
  8. 13. hidden drawback with 3 down
Down
  1. 1. brain's concern, with 9 down
  2. 2. confounds with brainteasers
  3. 3. formal dance event
  4. 6. best in class
  5. 7. stubborn animal, key to puzzle
  6. 9. group of wolves
  7. 11. random draw to win a prize