DJstormtrooper42 asks:
Two questions:

1st
From the rulebook:
"During your turn, effects from your opponent’s cards may not include or consider your stopped personnel."

If this is the case, how does a card like A Bad End or Don't Let It End This Way legally function?

2nd
"You cannot use another card’s text to affect one of your stopped personnel or ships."

If this is the case, can a affected by Brief Reunion be killed while stopped?
For your first question, the golden rule of CCGs is that cards may break a rule if they explicitly do so. A Bad End and Don't Let It End This Way explicitly break the rule about whom dilemmas can affect.

For your second question, yes, a personnel placed in play by Brief Reunion will still be killed at the end of the turn even if that personnel is stopped. The reason is the same as why Michael Eddington will still be killed if his ability is used and he is stopped: you activated the game text before the personnel in question was stopped. An effect that is already pending on a personnel or ship is not cancelled just because that personnel has been stopped.

blinkkite asks:
Hello all,
I was wondering, if a Precise Attack is on a ship I command, can I destroy it with an event destruction card (Worth the Price, Swagger)?
From the Rulebook v3 (page 10, column 2, paragraph 10):
You cannot use game text to remove damage cards unless that text specifically refers to damage cards. For example: Destroy an event. Lose 5 points. This game text cannot remove a damage card that happens to be an event.

garetjax asks:
Can "A few minor difficulties" be destroyed by it's gametext, if the player who commands this event has the Talnot in play and a copy of the event in the discard pile?
And as a second question can i save this event with Miles Repair chief, if it would be destroyed by it's own gametext?
Effects belong to the commander of the card that produced them. When A Few Minor Difficulties destroys itself, it is being destroyed by whoever commands it. Because it is not an opponent destroying it (you are), neither Miles O'Brien nor Talnot can change that.

Totharious asks:
I have set up in play and my opponent just turned over my Aftereffects. If I destroy setup, do I get to choose all 3 personnel or do I only choose 1?
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Dilemma

2 Aftereffects
Randomly select three personnel. If the total cost of those personnel is 5 or less, they are killed. Otherwise, randomly select one of those personnel to be stopped.
"It fired a weapon that cut a swath four thousand kilometers long from Florida to Venezuela."
13 C 1
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Event

1 Set Up
Infiltration. Plays in your core. When an opponent's personnel is about to be randomly selected, if your Infiltrator is at that mission, you may destroy this event to instead choose the opponent's personnel to be selected from all eligible possibilities.

“This is ridiculous. I’m not the changeling. If I were, don’t you think I’d put up a little more of a fight?”
3 R 54
Set Up responds to "an opponent's personnel . . .", this means it allows you to choose one.