Glaive toss is a lower priority than murder of crows, so the scenario would end right there - you'd hit AMOC rather than GT, and AMOC before the non-proc'd explosive shot.
Although, really, if you know how long the fight is going to last, you can push AMOC *alot*. As long as you don't miss out on one throughout the fight, it's fine to delay it for as long as you need.
As for DB, it has no focus cost, which means that I value it higher than Cobra Shot - so if I'm focus starved and need 2 cobra shots to fire off a AMOC, for example, and DB is off CD, I'll hit DB prior to regenning my focus, as thats a higher-priority button that I can hit *right now*. If that makes any sense
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And the Pet ticks I'm not actually sure about - I haven't tested myself, but according to Rogerbrown, whom I trust fully to "know his shit", the pet gets extra ticks at specific levels of haste. As it's affected by melee haste, I don't see why that shouldn't be true (haste rating is the superior version of haste, compared to melee/ranged haste, so if it's affected by melee haste, it SHOULD be affected by your personal haste).