Mixed clues, cryptic crossword

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Across
  1. 2. A different form of Nothing, goes around a shortened East river (4)
  2. 4. Using a rubber a secretary may rub out (5)
  3. 6. Last chance, call off Santa’s helper (3)
  4. 8. Very exciting, filthy habit (4-6) (double meaning)
  5. 13. rug hidden by dermatologist (3)
  6. 14. Entrance for mixed up singers (7)
  7. 17. Stopping in cages for a change (7)
  8. 19. Cilla changed purply colour (5)
  9. 20. Opposite of boring reward from saving with the bank? (double meaning think money) (9)
  10. 22. A foreign festival rearranged to make it safe (6)
  11. 23. A fast train, say (7) (double meaning)
Down
  1. 1. alarm starts to influence marine’s early responsiveness (5)
  2. 3. For a bit of fun, start singing inside a type of very fast plane (4)
  3. 5. A horse is not all mixed up (8)
  4. 7. enjoyment from malfunction (3)
  5. 9. Soldier journeys, for a month (5) (double meaning)
  6. 10. At opposing positions they could be evens (double meaning think horse racing) (4)
  7. 11. big wave, greets unamiable insider (7)
  8. 12. Took a picture inside an African animal (5)
  9. 15. meat and vegetables meal starts running out as special time (5)
  10. 16. celeb race letter, contained arm band
  11. 18. Theory begins in darkest East Africa (4)
  12. 19. Car plant (5) (double meaning)
  13. 21. consumed, inside of meat enchilada (5)