If the movie follows the comic books/cartoon:
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Joker was created by falling into a huge container of chemicals which bleached his skin, that isn't make up he is wearing. Well it isn't suppose to be of course the actor has to wear makeup
Joker will escape due to befriending Harley Quinn, a psychiatrist they provide him to attempt to make him sane. She helps him escape and becomes his loyal goofy sidekick
Also two face is suppose to die after the riddler, so my guess is he isn't dead. And of course he didnt even really wear his wacky two color suit. Also batman doesn't even get injured he sprints away. Two face was too much of a main villain in the batman universe to have come in a movie half way and died at the end. then again he just flips a coin and kills people so maybe that just isn't hollywood enough