Question: When Alfred watches the senate bombing on the news, he finds one last refused check from Wallace Keefe (actually from Lex). But it has a drawing of the senate in flames, what is the purpose of this? It's completely against Lex's plan to frame Superman and make Batman fight him, because it shows that Wallace actually knows what is going to happen/he is the one who will blow up the building.
Question: Multi-part question regarding the actual brawl between Batman and Superman. Batman's first barrier is a sonic attack (lifted right out of Marvel's "Incredible Hulk," which Superman defeats the same way the Hulk did: Ripping apart an iron plate and destroying the sonic emitters with the two halves of iron). Why was Superman bending over, holding his head, when we know he has super-selective hearing? Superman could instantly block out a sonic attack without even blinking. Batman's second barrier was comprised of a couple of machine-cannons; again, Superman ducks and covers until he realises the cannons do not affect him. Why would Superman attempt to shield himself from conventional firearms? Did he suspect they were Kryptonite rounds? If so, why even bother shielding himself? If Superman suspected that Batman was using Kryptonite-based weaponry, why would he even walk into that scenario? After Superman strolls through Batman's first two deterrents, Batman then uses a third barrier, a smoke bomb that can, apparently, block Superman's X-ray vision. What was in the smoke? Was it lead-based smoke? Because Batman escapes while Superman seemingly can't see through the smoke. As far as I can tell, Superman doesn't realise that Batman is using Kryptonite-based weapons until Batman uses the Kryptonite gas mortars on Superman. So, why did the first three weapons even slow Superman down? Superman could have defeated Batman in a fraction of a second without killing him.
Question: I have 2 questions. The first one: why did Lex end up in prison? yes he created doomsday, but with his team of lawyers he could have easily said "I was just conducting experiments like I was allowed to do and suddenly this giant thing was released." There is no way to prove he made Doomsday since the government can't just check the alien ship memory card. Also him kidnapping Martha, he never kidnapped her, his goons did and I'm pretty sure he could have or already did cover that up. The only person who knew were Batman and Superman. Superman was dead and Batman couldn't just show up to the police station as a witness. 2nd question I have is about what happened in Africa. We all know Lois and Jimmy showed up there to interview the African drug lord. Then the goons kill everyone and Superman comes in to save Lois. Next thing we see is a congressional hearing where they're interviewing some random African woman and she's making up all this BS that Superman killed them all. First, how did they explain everyone dead from gun shots? 2nd, where was Lois? She tells Clark to go tell his side of the story yet she was actually there. Wasn't her testimony a lot more important?