Have a question on how to play this action card, ...or roll for the hunt (as if the free plyer had just moved the fellowship).
If this happens when you have 1 blue movement dice in the huntbox and there are 3 red eyes, the SP throws 3 dices, but on what do they hit? A 5 or a 6, because if I follow the above advice and if I would have moved, I would have used a blue character dice of course, so is this blue dice added imaginarily?
In your example, the Hunt dice would succeed on a 5 or higher. Character dice used to move the Fellowship are not added to the Hunt Box until after the Hunt is resolved (they affect future Hunts, not the current one), so the movement die that is not used is irrelevant to this Hunt.
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