'Immediately' is misleading, normally you summon in the main phase so you need to wait until the battle phase, it can attack in the same turn it is summoned. If a monster is summoned in the battle phase then usually it can declare an attack as the next game action.
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As long as you are Special Summoning before, or during the Battle Phase, then yes, that monster can attack.
Setting is similar, yet not identical to normal summoning. a normal summon is when you Summon a monster onto the field in face-up attack position, whereas a set is when you normal summon a monster in face-down defense position. When a monster is set, it is not yet considered a summoned monster.
yes you can but only once per turn and you cant attack on the first turn of the duel so if you go first you cant attack with it
A Reverse Summon is the Japanese name for what the TCG calls a Flip Summon. To Flip Summon a monster, in your main phase 1 or 2, you manually change the position of one of your monsters from being Set, into face-up Attack Position.
When, you flip summon a "Yu-Gi-Oh!" monster, it was before in face-down defence position and now is in face-up attack position. You can only use this in a turn in which you have not already done anything with that monster card. You can not summon it into face-down position and then flip it straight away - you must wait until the next turn.