No, Backfire only triggers when the Fire monster is Destroyed. Tributing a monster does not 'destroy' it.
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The Effect of Wicked Avatar is as follows: This card cannot be Special Summoned. This card cannot be Normal Summoned or Set except by Tributing 3 monsters. Your opponent cannot activate Spell or Trap Cards until the end of their 2nd turn after this card is Normal Summoned. The ATK and DEF of this card are each 100 points higher than the highest ATK on the field (except "The Wicked Avatar").
Yes. Tributing Gusto Gulldo is a cost, meaning it will miss the timing on its Optional Trigger.
Skill Drain will do the following:If a monster activates an effect, and the monster is face-up on the field when that effect resolves, then that effect will be negated.If, when the effect resolves, the monster is not face-up on the field, then the effect will resolve as normal. This happens to monsters who activate and resolve in different zones, monsters tributed for the activation of their own effect, and monsters destroyed, or flipped face-down before their effects can resolve.A monster's continuous effect will be negated until Skill Drain is removed from the field.
Flip effects will activate if flipped manually by Flip Summon, or when attacked. Also must include "FLIP" in all caps for its effect to activate, or say 'when this card is turned face-up'. For example if a monster such as Guardian Sphinx is flipped face up by an attack or an effect (spell, trap or monster), the effect does not activate, because only a Flip Summon triggers it, not a generic flip. When a card effect destroys a face-down monster, the monster is destroyed and flip effect isn't activated because the monster never flips. Mystic Swordsman Lvl. 4 destroys the monster it attacks without flipping it, so a Flip Effect monster attacked by it will not get its flip effect. To summarize, if a FLIP effect monster is attacked while face down, then it will activate. But if it's destroyed by a card effect while face down then it won't activate. Some card effects let you flip monsters face up and let the flip effect activate, like book of taiyou. But others, like ceasefire don't let it activate. If it says 'when this card is flipped face up' then you have to do that manually on your own turn.
No monster can activiate its effect while face down unless it specifically says so; only face up.If you are referring to monsters who say their effects activate when Flip Summoned, that means you must flip the monster up manually during your Main Phase after it is set face down. A monster fliped face up from an attack does not count as a Flip Summon.