[Mongo]

The “unstop” function of this card for personnel. Can I use that function to unstop a crew that started a ship battle? For instance if my crew attacked ship A and is now stopped, can I unstop my crew and initiate a battle on ship B? Or unstop the crew to do another function involving the ship?

[JeBuS]

Collect Metaphasic Particles
Seeds or plays on Ba'ku Planet. You may attempt it using these requirements:
Any Son'a personnel + Injector Assembly One in orbit + Treachery x2 + no opposing ships or personnel here
When you solve, you may take a double turn and, for rest of game, all your personnel are STRENGTH +2, add Youth, and may "unstop" themselves once each turn.

I don't see any reason why your crew couldn't unstop themselves and transfer to a different ship to do more stuff. The original ship is stopped still, but the crew would not be.