When Lex is saying "if man wont kill god the devil Will do it", he is in the kryptonian ship.
Probably recoverd by the army and left to Lex industries.
You can see the set behind, Supes is there too, there is also a kelex kind of robot hovering next to him.
Lex is clearly using the genesis chamber tech for creating Doomsday.
Whats weird is that you see at one moment a giant White structure in the middle of the memorial park where Supes statue is.
Lightening bolts come out of it. Im pretty sure that its not where the kryptonian ship is (would be dumb to leave it there and experiment in the middle of the city, nor where Doomsday Will show up (as all the battle Will take place in deserted areas).
I really wonder whats happening there... Supes resurection?
Also the speech between Lex and Supes (and Lois) probably takes place on the top of Lex tower.
And is pre fight with armored Batman.
Thats also when Supes kneels before Lex.
So i guess that its because of Martha that Supes must obey Lex who is forcing him to fight Batman (wich has been a pain in the ass for Lex Shadow operations).
Also from What i gather of the lois lane clip about high tech munition making it to middle eastern (the fort built in the desert seen in some Tv coverage and the running horses from the trailer) i think there is a whole sub plot of illegal weapons sales organized by Lex. And Batman (lois and Diana?) is onto Lex, the whole dock scene and that escaping truck shooting at the batmobile is probably part of it.