After Tom/Rogue kills the original Rogue he removes his wedding ring and puts it on the dead Rogue. When he is washing up in the next flashback you can clearly see that he is still wearing his wedding ring.
During the Jason/"Rogue" car chase scene the same cars will appear on different roads. A black mustang can be seen going one direction, then the other, then be seen on a different road. A silver VW bug is seen start to finish during the whole "fast paced" scene.
At the Sayu Tea House after Crawford smashes his Chevelle into the fleeing Impala of the triads and the ensuing shoot-out he leaves his driver's door open. When Crawford returns to his Chevelle to start the chase scene with Rogue his driver's door is closed.
When Crawford maneuvers around the trolley during the chase scene with Rogue the front license plate of his Chevelle is missing. At all other times during the chase scene the front license plate is there.
When Rogue is in his gun vault, he is loading a pistol magazine with his "depleted Uranium" rounds. The rounds are clearly 5.7x28mm, and the magazine is for a FN Five-seveN handgun. However, the gun he supposedly inserts it into is a Walther P99 in 9mm. This would be impossible because the Five-seveN-magazine is too big for the Walther.
Depleted uranium literally makes no sense as ammunition for an assassin to carry and use in his personal weapon. It is a very dense, very heavy metal, and the only military application for its use in ammunition is for armour-piercing purposes in 20mm-30mm calibre cannon shells. It would be too heavy for a standard handgun's powder load, making it underpowered and have a shorter range and less stopping power; but increasing the powder load to compensate for the weight would make the weapon kick much more and therefore be much less accurate. And since a heavy round tends to have high penetration but low stopping power and punches straight through a target, someone who gets shot with it would be far more likely to survive than if they were shot with the same calibre hollow tip round in the same place. A final point against it is that carrying a radioactive metal constantly on your body would probably cause cancer in the long term. This is just fictional nonsense from the filmmakers.