I'm just finding this thread now, so forgive some replies to stuff from Page Two.

(And Three)
"Um, Captain, I think the issue of
first contact has already been resolved here: intentionally or not, the Hawking has made First Contact with these people. As for how we procede from this point, I cite the precedent of the people of Mintaka III: when a Federation anthropological study team accidentally revealed advanced technology to the Mintakans, Captain Jean-Luc Picard decided the best way to minimize the effect on their society was to make open contact and explain the situation.
"These people are less likely to mistake us for Gods than if they were in the Bronze Age, but I think we can safely say that they are now aware of intelligent life in the universe beyond their solar system, so we don't have to keep our existence secret anymore."
From what I've read, the plan goes like this:
"How close can we get to the Hawking while always keeping one of these Really Big Rocks between us and all of the alien ships, Helmsman?"
"Pretty darn close, sir. Well within Transporter range."
"Make it so."
Yes, in reality asteroid fields are not the dense clusterings of rocks seen in SF films, but Trek is one of the SF franchises that has asteroid fields that are penteratable only by stunt pilots.

(Just look at the one in "The Pegasus", or "Booby Trap".)
I already see one thing: it won't do the job. Parts of the ship have already been removed, and other parts may have been removed to distant locations. Since the objective is to prevent
anyFederation technology falling into their hands, the players need to figure out what's been taken and get it ALL back before they blow it up.
Although I believe the cause of the accident was them testing an FTL drive, there is no evidence of them possessing any FTL capability: they travel around their system in fusion-powered ships, which is a fair description of a ship using an Impulse Engine.
Well, even if it was not aware that it was a hybrid, it might well be aware that it did not evolve on the planet upon which it resides. Faced with a total absence of your ancestors int he fossil record (beyond a date a few thousand years back), there are 2 obvious conclusions one might draw:
1) GOD created your kind and plunked you down upon this planet, or
2) ALIENS transplanted your ancestors to here.
Then you find an alien spaceship, one that uses technology clearly far in advance of your own, and on this ship you find a photo that shows a member of its crew holding in their lap someone who looks remarkably like your cousin.

I can see someone in this situation looking at the cat and realizing that it looks too similar to his own people to be anything but an ancestor (or a descendant of a common ancestor).
This means either that this ship belongs to the people who transplanted you here, or that the Chief Engineer on this ship was God.
Hmm. This seems ... familiar. Is it a coincidence?
Nope: no coincindence. Been there, done that, bought the RPG.

Boys and girls, this is a franchise cross-over.
Not that there's anything wrong with that.

Keep it coming, I like it so far.