Auras don't need to say "enchant creature" to return to the battlefield. For example, an Aura with "enchant land" will return to the battlefield if there's an animated land for it to enchant.

All the Auras return to the battlefield simultaneously. Whether an Aura can be attached to a creature is checked before any of them are returned and doesn't take into account any simultaneously returning Auras. For example, if Tattoo Ward (which gives enchanted creature protection from enchantments) and Holy Strength are in your graveyard and there's only one creature on the battlefield, both Auras are returned to the battlefield attached to that creature, then Holy Strength is put into your graveyard the next time state-based actions are checked.