The movie is a bit of jumbled mess IMO, Clark Kent lacks screen time and I hardly knew about the character, it's like watching a stranger doing his stuff separated by other characters plot. This is from someone who know quite well about Superman ( watched many shows/movies from Superman movies, Superboy, Smallville, read the Death and the Return of Superman ) The movie is like a compilation of 3 different movie shuffled/stitched together, Lex, Batman and Superman.
Lois Lane and Clark Kent relationship also seems to be cold/distant, Lois doing her own investigation, and Clark going to Gotham, they are on separate ways, no calls, no chat ... then every time Lois needs saving, Superman is there from God knows where ....
The only good thing is Batman, although I wished Bruce could show more in details why he wanted to get rid of Superman. The last act also feels rushed, how did Batman prepped all the traps, and how he can be sure Superman will come when he pointed he Bat lights into the sky ?
Everything lacks cohesion and intimacy with the viewers, the story is nothing special, and Doomsday is too weak compared to the comic, would have been better if Doomsday is saved for different movie in a few years time and introduce different antagonist, no need to make Superman "die" this early.
If we can hear what Superman think through self narration ( is this the right word ? ), it would add more immersion to the audience. Max Payne comes to mind
This would be great in scenes like when Clark met Bruce and Lex during the Library of Metropolis Benefits party, hearing what Clark thought of Lex and Bruce, what he knows about them, his plan, his worries etc.
Lex, wow, this character is the worst part of the movie, shallow/dense may be appropriate. He also seems to be way too talkative for a rich boy genius. How did he became so hateful of Superman ? Envy ? or fear, too much fear that leads to desperate measures ?
Why did Potus can only be heard on the phone ? I was expecting to see Patrick Wilson in person
Wonder woman is a good distraction, really interesting to watch, her own movie will rock
About the ending, when Lex got arrested, interesting how he was seen with someone, and when Batman paying a visit at his cell, he gave clues to what's coming, then the last scene of the Clark Kent casket, looks cheesy, why not just show the casket from above and that's it, everyone knows Superman don't die permanently
Now how it looks and sounds :
The visuals is great, on plasma tv+dark room, everything looks impressive, the night scenes, the lights, looks surreal with darkness vs light source, the last act battles also can be a real showcase of plasma tv, the Batman eye glow, Superman Heat Vision, the Kryptonite Spear, the Doomsday energy attacks, explosions, the rain, and the space, although short, really contrast the land battle.
Music/score is great, some cues to the Man of Steel score, the mixing is superb, sound effects are top notch.