No, you cannot activate a creature's ability when it has summoning sickness.
Summoning sickness prevents a player from attacking or using the abilities of a creature that was just summoned. This impacts a player's ability to gain control of a creature because they cannot immediately use it to attack or activate its abilities on the turn it was summoned.
Yes, summoning sickness can prevent a creature from attacking or using its abilities on the turn it enters the battlefield.
Summoning Sickness stops a creature from attacking, and prevents it from tapping as the cost of an activated ability that uses the tap symbol. Non-tap abilities are not affected by summoning sickness. They can be tapped for the cost of abilities that do not use the tap symbol (such as that of Gilt-Leaf Archdruid).
No, of course not. Summoning Sickness stops a creature from attacking or using an ability with a Tap symbol as a cost. It does not stop it from being tapped by other effects, or for certain costs which require a tap, but do not use the Tap symbol (they can be used for Convoke for example) and they are certainly not destroyed if they end up tapped.
When you activate the ability "draw a card for each creature you control," you draw a number of cards equal to the total number of creatures you control.
A Planeswalker can only use one ability per turn, and only on your own turns. Planeswalkers do not suffer from summoning sickness though, so may use an ability on the turn they are played.
A planeswalker can activate its ability during its controller's main phase when they have priority.
Yes, you can activate a planeswalker ability during your opponent's turn if the ability can be activated at instant speed.
No, negative counters do not have the ability to eliminate creatures with indestructible.
PS3 does not have the ability to play (activate) PS2 games.
Yes, in the game, you can sacrifice a blocking creature to activate a specific ability or effect.
In Magic: The Gathering, a spell is a card that has a specific effect when cast, such as summoning a creature, dealing damage, or providing a special ability. Spells are distinct from lands and creatures, and are typically played from a player's hand by paying a certain amount of mana.