Some powers read "...immediately after X the character can take a free action to Y. In Quasar's Quantum Teleportaion power it does not say immediately, so can he:

1) Phase 5 squares or less and carry a figure with the SHIELD team ability.
2) Have the figure with the SHIELD team use a power action to give Quasar +1 to damage.
3) Quasar use his free action granted by Quantum teleportation to make a ranged combat attack?

Thanks

You need to make the attack immediately after resolving the move action.

From the 2011 PG update:
1) Yes
2) No, as you cannot be given a non-Free Action after being Taxied/Carried. They could use the SHIELD TA to boost Quasar's Range though.
3) Yes. Due to being next to a SHIELD TA figure he could halve his Range (10/2=5) and then add the +1 from the Range boost to shoot 6 squares away.

Quasar can shoot up to 8 squares away, assuming he Phases next to 3 SHIELD members (or Wildcards copying SHIELD).

Basically, Quasar can Phase up to 5 Spaces and make a Ranged Combat Attack as soon as the Phasing resolves. "After the action resolves" means that it happens immediately, no delay.

EDIT: Beaten by Quebbster!

One thing worth mentioning is that with the update to the SHIELD TA you would give the figure tje power action before Quasar is given his move action, so Q can carry his buddy and still get the damage boost.

Yep, only requirement is that the two figs are adjacent when you give the SHIELD dude the power action.

Thanks for the clarification.

And when the attack is made.

But Quasar could definitely carry the figure giving the boost, or could even move to another square adjacent to that figure and still get the boost.

You could have three SHIELD figures forming a wall, with Quasar behind them, give them all power actions, then have Quasar move in front of them and attack. Would get the +3 range and +3 damage, and would have probably only moved 2 squares.