A: Yes, you must complete your compound Action (Draw Two and Use ‘Em, Draw 3 Play 2 of Them, Fizzbin, or Team Up) before you opt to take any optional Free Actions allowed by the Rules.

And, just to preemptively respond about Keeper powers as well, Andy rules that those should also be held until after any compound Action is resolved.

Example: If you could win with the current Goal if you had a Crew Member you don’t have, and you Draw 2 and Use ‘Em, receiving the Captain and some new Goal, you can play the Keeper The Captain (who’s special power lets you steal a Crew Member), but you can’t use his power before you complete the compound Action by playing the second card: the new Goal that you can’t win with. Them’s the breaks sometimes.