Yes, you can.
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Magical hats can only be used during your opponent's battle phase. Seeing as they can't flip their monsters during their battle phase, no. However, if your opponent does activate a spell or trap card during the battle phase, you can use Magical hats and protect your monsters. Overall, yes. You can use magical hats to protect your monsters from targeting effects as long as it's during your opponent's battle phase.
You can't use Bottomless Trap Hole in the Damage Step of the Battle Phase (the period of play that starts when the defending monster is flipped, to the time monsters destroyed by battle go to the graveyard and anything that triggers from that finishes resolving). But you can't use Call of the Haunted during those times either, so any valid use of Call of the Haunted can have Bottomless Trap Hole used against it if the monster has enough ATK. If Gorz is being summoned outside the Damage Step, then yes, Bottomless Trap Hole can be used against him. If he is being summoned due to battle damage, this is in the Damage Step, so Bottomless Trap Hole can't be used against him.
their really isn't a big difference between them except for the fact in Main Phase 2 you can't attack again if you are planning on setting Spell [S]/ Trap [T] cards face-up or face-down. what i mean is - Draw Phase - Main Phase 1 - Battle Phase - Main Phase 2 - End Phase during Main Phase 1 you can set your s/t cards and launch you attack in your battle phase. Main Phase 2 if you can set more s/t cards after your done setting the amount you want to set you'll probably have to end your turn.
If your playing on a laptop with build-in mic, you can blow into it to remove the fire trap
You need the Pokemon with arena trap in battle or the wild Pokemon can flee