Is it possible to remove or block the mtgo cards
No, but this is an interesting idea, thanks.
If a card is played and it's ability requires it to be tapped, can I tap it as soon as it hits the board? Or does summoning sickness require me to wait one turn?
If its a creature, wait unless it has haste. Non-creature spells dont have sickness
If you have a rules question, feel free to start a new thread.
Piotr, is it possible to have a Rules forum?