When using Imakuni?'s Doduo's "Harmonize" attack, if I'm still singing when it comes back to my turn, can I use "Harmonize" again?
The attack says "from the moment you use this attack you must begin to sing a song". So if you use Harmonize again you have to start a song over from the beginning (you may sing the same song if you wish) and the prior attack's damage gets placed immediately. It does not stack, sorry.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
If the Defending Pokemon retreats while the song for Imakuni?'s Doduo's "Harmonize" attack is being sung, does that prevent the damage?
No, since the damage does not take place until the song is finished, the opponent's Active Pokemon at the end of the song will receive the damage.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
What happens if Imakuni?'s Doduo is KO'd or retreats with "Frenzied Escape" while singing for its "Harmonize" attack?
The singing continues and the damage is placed when the song is finished. Just because Imakuni?'s Doduo is not in play doesn't mean its attack stops.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
When using Imakuni?'s Doduo's "Harmonize" attack, can I just play a recording of a song?
You may have musical accompaniment as long as it is not disruptive, but you MUST actually sing the song. Lip-syncing and humming do not count.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
When using Imakuni?'s Doduo's "Harmonize" attack, what happens if I forget the words to the song?
As soon as you stop singing, the damage is done to the current Defending Pokemon.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)
When using Imakuni?'s Doduo's "Harmonize" attack, what happens if the song is not finished before my next turn?
No matter how long it takes, the damage placement is delayed until the song is finished even if it takes many, many, many turns.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)