Does Bullet Time and Unchecked Power if there is a Pouty Poro with a Deflect do you pay a Deflect cost?

No, you do not pay a Deflect cost for Bullet Time or Unchecked Power, even if a Pouty Poro with Deflect is on the battlefield.

According to RiftJudge FAQ #5822 and RiftJudge FAQ #4422, Deflect only applies to spells or abilities that target a specific game object. Both Bullet Time and Unchecked Power affect all units in a battlefield or all units on the board, respectively; they do not select individual units as targets.

• Bullet Time: Targets a battlefield, not individual units.
• Unchecked Power: Applies a blanket effect to all units at battlefields.

Because neither card "chooses" the Pouty Poro specifically, the Deflect ability is not triggered, and no additional cost is required.