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 If I have in play {treacherous pit-dweller} and a {nephalia smuggler} with enough untapped mana to use smuggler. And somehow pit-dweller goes to the graveyard and triggers undying.

My first question triggers many,
   The pit-dweller enters the battlefield, triggering its first ability to change control to target opponent and putting it on the stack?
   If pits ability is on the stack, I can target pit with smuggler and blink the pit-dweller's ability away?
   If pit returns this way, it's +1/+1 undying counter doesn't return with it?

This is a 3 part question;
I play {mayor of avabruck} and it flips to {howlpack alpha} on their turn, then my next turn play {feed the pack} but dont want to sacrifice {howlpack alpha}. When the end phase begins, what stacks when:

The alpha first on the stack(because mayor was in play first), resolving the feed the pack first?

Or will alpha create the token before I have to choose the sac.

Last part is the same questions but if instead the mayor is in play turn 5 and then the feed the pack comes into play turn 6, then the mayor gets flipped to alpha during enemy's turn 6?

I'll appreciate to hear back from somebody.