FF6 - Brave New World

1: Switchblade: If Locke tries to steal because this item's "Steal" effect triggers, do enemies still do their uber counters?

Nope.

2: Do I get AP ("Magic Points") for enemies that are part of my
formation, but escape? For example, a Commando and 2 Foxhounds was worth
2AP to me, but 1 hound escaped. Would I get the same AP had I killed
all the enemies?

Magic point gain is tied to formations instead of enemies, so you'd get the same amount regardless of how the fight ends (assuming you're victorious, of course).

7: For the airship tutorial, Setzer says, "so help me." So help him... what? So help me... God?

Setzer worships the RNG.

9: Slot: One time, I used Slot and the slot machine became 777 and
inverted its colors. I pushed A repeatedly and I got "Go Fish." Odd. It
was in Narshe's mines, on the way to find Mog. Gau raged Sand Ray (Sand
Storm) and Cyan had Dispatch going.

Sounds like you overloaded a graphic buffer or something.

Which, come to think of it, might explain any ongoing graphical abnormalities that people who played through earlier versions of the ROM are continuing to experience.

10: Dual wield glitch? I gave Mog a Full Moon in his right hand (top
slot) then put a Stout Spear in his left hand (second slot from top).

That's intended behavior; you're meant to be able to equip a dual-wield weapon in one hand and a regular one in the other (a sword and dagger with Locke, for example).

12: Mog: If I use a dance that alters the terrain, then win the battle, I can't learn the dance from the original terrain.

Correct.

13: Mog: Why can't I learn Earth Blues from the inside of a mountain, but I can from the outside?

Because the native dance of the indoor portions of a mountain stage is the Dusk Requiem.

15: An Antlion, a low-level creature found around Figaro Castle, can cast Doom. Doom! Why?

Because enemies actually use the attacks that you can rage them for now.

16: Does Berserk (Bserk) cause someone to activate a random rage? Mog
went berserk then started raging Exocite. Dunno how that happened!

Sounds like he started up Love Sonata or Water Rondo and hit Plasma.