For No. 2 Edge - I've got BANK
10. Ace fair - SUPERMARKET
14. Left in race - CASTLE (caste = race, with L in)
19. A rat direction belonging to me - ACADEMY (a rat = a cad, direction E (east), belonging to me = my)
27. Abels brother and I mixed = CINEMA (Abel's brother = CAIN, mixed, with ME in).
I haven't got the others you want yet, I'm afraid.