Welcome to Smogon! Take a moment to read the Introduction to Smogon for a run-down on everything Smogon, and make sure you take some time to read the global rules.
(Technically, I had finished writing my orders at that point. I saw the error when doing a final review of the previous round, and realized it might constitute a minor change on my part, which it did.)
Hyper Beam - Fire Spin - Fire Blast
If Venusaur is under the effects of a successful p/e move when you would act, Chill that action.
If Razor Wind and you are set to use Fire Spin, use Flamethrower that action instead and push back.
If Solar Beam + Synthesis, Chill that action.
Thunder - Wild Charge - Thunder
If Articuno is under the effects of a successful p/e move when you would act, Chill on the first instance, and use Substitute (15 HP) on the second instance, restarting the queue in each case.
If Articuno is Enduring when you would act and Articuno has 1 HP and Articuno is not asleep, use Confuse Ray on the first instance, and use Toxic on the second instance, restarting the queue in each case.
If it is hailing when you would act and Articuno has <9.5 HP when you would act, use Shock Wave that action.