If you attack with your “Flying Kamakiri #1” and it is destroyed as a result of battle, you may attack with the monster Special Summoned by “Flying Kamakiri #1” before entering Main Phase 2.
If your opponent controls your “Flying Kamakiri #1” and it is destroyed as a result of battle, you get the effect of “Flying Kamakiri #1” NOT your opponent.
Since the Special Summoning occurs during the Damage Step, “Torrential Tribute”, etc. cannot be used.