First of all, I recall Picard (this is without going back to watch the episode) dropping his commbadge on Deck 36.
That ugly guy with 1,000 nostrills picked it up and showed it to Kelsey. I believe his line was something along the lines of "I don't think he's a barber. I found this in the Jefferies Tube."
As for your other questions, I don't know how to put all this but Picard wasn't interrested in going to the cocktail party anyway. But yet he was running away.
Hmmm....
After Picard beat up Tuvok, that's when he suspects the phony maintainence crew is up to no good. THEN the power goes out and the emergency lights come on. Then he's on his way off the ship... or is he because why would he want to leave the ship so they can steal the Trilythium?
And for your other question, about the communication, maybe Picard is lucky the phony maintainence crew didn't bother to f*ck with the communications grid.
What
I don't get is this...
I
LIKE the emergency lights and stuff but wouldn't all that have been cancelled by Picard delivering the line...
"Computer, cancel auto-shutdown sequence. Authorization Picard.... (his command code)!"
But would the computer have said???
"Unable to comply. Enterprise needs to be shutdown for Baryon Sweep procedure to begin."