Can I activate a [Counter] effect and then activate another [Counter] effect?

Does this card's [All Turns] effect also trigger when this card itself is played?

Multiple effects trigger when this card is played. In what order do they activate?

Can I use this card's [On Play] [When Digivolving] [Counter] effect to play [Paishu] during the counter timing when an opponent's Digimon attacks, then use [Paishu] to block that attack?