Can you put an aura on a creature with shroud?

Yes. Shroud doesn't remove enchantments, it simply means the creature cannot be targeted. Aura spells only target while they're on the stack.

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Thereof, does enchant permanent target?

Yes. Guard Duty, like other auras, targets the creature it will enchant when it is a spell on the stack. Do auras go to graveyard MTG? See rule 704.) 303.4d An Aura can't enchant itself. If this occurs somehow, the Aura is put into its owner's graveyard. If this occurs somehow, the Aura becomes unattached, then is put into its owner's graveyard.

Are auras permanents MTG?

Auras are indeed permanent cards. The only card types that do not count as permanent cards are instant and sorcery. Are all enchantments auras? Aura and Enchantment are not synonyms. If you look at any Aura card, such as Rancor, you will see that the type line says "Enchantment - Aura", which means the type is Enchantment, and the subtype is Aura. This means that Auras are always Enchantments, while Enchantments are not always Auras.

What happens if you copy an aura?

If Mirage Mirror becomes a copy of an Aura, it's put into its owner's graveyard unless it's somehow attached to an appropriate object or player already. If it becomes a copy of an Equipment and is attached to a creature, it'll become unattached when it becomes a non-Equipment artifact again. Who controls an aura MTG? By default, the player who put it onto the battlefield controls it. Control of the Enchanted permanent does not dictate who controls the Aura. 303.4e An Aura's controller is separate from the enchanted object's controller or the enchanted player; the two need not be the same.