I keep seeing people saying he's speaking to the Kaiju in the ''Hey Buddy'' bit.
But no, he talks to the Hammer guy, you can see he is attacking Lordtech in previous clips and when Supes fly away you can see the Lordtech logo on top of the building.
And I'm pretty sure the Kaiju doesn't speak and it works better if he's engaging with a presumably human vilain (Which some thinks it's Ultraman hiding in a different suit sent by Lex).
Sorry, I just read that a lot and wanted to get it cleared out.
Oh and, pretty sure the Kaiju is attacking because Lex is manipulating it with it's baby (as seen in the leak toys).
So Superman may very well find a peaceful way to end the fight, which may frustrates some heroes and people.
All in all, that took off in the air in one shot was amazing.