Can I choose one or more parts of Greninja V-UNION with Vaporeon VMAX's "Bubble Pod" attack, and play it on my Bench?
Bubble Pod cannot put Greninja V-UNION into play because Bubble Pod will only get one card of the V-UNION, and one piece of a Pokemon V-UNION cannot be brought into play alone.
Source: TPCi Rules Team (2021-09-30)
Can I use Golurk V's "Rewind Beam" attack to put a Stage 2 Pokemon that was put into play via Vaporeon VMAX's "Bubble Pod" attack into my opponent's hand?
No, because while the Stage 2 is considered an "Evolution Pokemon", it is not an "evolved Pokemon" as required by the Rewind Beam attack.
Source: Evolving Skies FAQ; TPCi Rules Team (2021-08-26)
Vaporeon VMAX's "Bubble Pod" attack says "put a {W} Pokemon from your discard pile onto your Bench". Does that allow me to put a Stage 2 or VMAX Pokemon directly onto the Bench?
As long as it's a {W} type yes, that's how it works.
Source: Evolving Skies FAQ; TPCi Rules Team (2021-08-26)