Compulsory Evacuation Device will resolve first and return the target monster to hand. Trap Hole will then resolve without effect because its target has left the field.
Costs are paid before anything can chain or respond to that action. When you activate Seven Tools, the opponent has already discarded a card for Magic Jammer, and there are no 'refunds' of a cost, if the effect is negated.
Yes, it is a Continuous Trap card with a Quick Effect. You can activate the card in any phase of the opponent's turn, and you can activate the effect of the card in any phase of the opponent's turn also.
Sometimes. It is an Optional Trigger so it can miss the timing. When an opponent activates a Field Spell card, your Field Spell Card is destroyed when the opponent's resolves. Your opponent's field spell card will resolve to the field, your Geartown will be destroyed, since the destruction was the last thing to happen, Geartown will Trigger. When you activate a new Field Spell Card over your own, your original one is destroyed when the new one activates. Geartown will go to the graveyard, then your new one will resolve to the field. Geartown misses the timing. If however you Set a new Field Spell Card, this doesn't use the chain. Geartown will be destroyed as above, and will also Trigger.
Yes.
no, if you read it, it says that only you can.
No. Negate Attack targets an opponent's monster, it cannot be used on one you control.
It would go like this. Chain Link 1 - Compulsory Evacuation Device, targetting Stardust Dragon. Chain Link 2 - Stardust Dragon tributed for the cost of Assault Mode Activate. Chain Link 2 resolves - Stardust Dragon Assault Mode is special summoned from deck. Chain Link 1 resolves without effect, as its target is no longer on the field.
No, she activates that effect during Damage Calculation. You cannot activate Enemy Controller during the Damage Step of the battle phase.
You can activate Quickplay Spell cards in your opponent's turn, if you have Set them on the field. As well as that, some of your face-up continuous and continuous-like cards may have a trigger than activates when a certain condition is met, these can activate in the opponent's turn too (Black Garden is one).
No; you cannot chain two Magic Drains to one Spell Card.
As an Ignition Effect monster, Relinquished can only take a monster in your own turns, in your own main phases. Monsters who can activate in the opponent's turn will usually specifically state so, or be a trigger which activates when a certain condition is met, regardless of turn.
Greenkappa must be able to select two valid targets, or its effect won't even activate. In your case, there is only one valid target, so Greenkappa will not activate.
No, you can use Divine Wrath on your own activated monster effects if you wish. Just as long as it is indeed an effect that activates and therefore uses the chain.
Costs are paid before anything can chain or respond to that action. When you activate Seven Tools, the opponent has already discarded a card for Magic Jammer, and there are no 'refunds' of a cost, if the effect is negated.
When one or more specific cards a chosen by a card effect, it is considered "targeting". For example, when you activate "Soul Taker", you must target, or choose, the monster you want to use its effect on. When you activate "Sakaretsu Armor", you are targeting the monster who is attacking. That means those card effects won't work if the targeted monster is gone. For example, if you activate "Soul Taker" on a Fusion Monster, and your opponent activates "De-Fusion", the targeted monster is gone so the effect would not activate. If your opponent activates "Book of Moon" to flip their monster face-down when you activated "Sakaretsu Armor", the card's target is technically not there.
No part of Call of the Haunted or Royal Decree affect a monster's ability to attack. The Sangan will be able to attack as normal.
You can only activate a Quickplay Spell card from your hand in your own turn. If you want to activate it in the opponent's turn, you must Set it during your own turn.