At some point during the interrogation/torture of Steven Younger, virtually all of his fingers on at least one hand get amputated. A couple of scenes later, all of his fingers appear to be back in place, as you can clearly see him clutching the arms of his chair.
In Yusuf's video displaying the nuclear bombs, the radioactive material container has the word "Chernivtsi" written in Ukrainian language. Chernivtsi is a city in Ukraine, near border with Romania. Origin of bomb's radioactive material is supposed to be in Russia, making a clear geographical mistake, besides there is no nuclear power station or radioactive fuel process plant in Chernivtsi region.
There's only about four pounds of "nuclear material" for each bomb, but critical mass for any radioactive element is nearly three times that. Plutonium bombs overcome this with carefully shaped and timed explosives to make their material uniformly more dense. However, the manufacturing challenges are significant and no such wiring or setup is evident in the bombs.
Although the shopping mall bomb appears to have been detonated at least 1000 feet away, the people on the roof see it and feel the blast at the same time. Since light travels much faster than sound, the blast should have arrived at least a second later.
The goof item below may give away important plot points.
When the FBI agent is disarming the bomb you can clearly see that he is using Microsoft Excel on his computer and that he types in gibberish when he is supposedly reprogramming the processor to disarm the bomb. A real bomb expert would use more relevant micro-processor programing software. Behind the Excel sheet there is what appears to be a copy of the screenplay.