Did Charles find out that Jane was unstricken at the end of the story? If he did, did they get married?

Bingley marries Jane in Chapter 61. Darcy and Elizabeth are also married.... Mrs. Bennett is a happy woman.

Happy for all her maternal feelings was the day on which Mrs. Bennet got rid of her two most deserving daughters. With what delighted pride she afterwards visited Mrs. Bingley, and talked of Mrs. Darcy, may be guessed. I wish I could say, for the sake of her family, that the accomplishment of her earnest desire in the establishment of so many of her children produced so happy an effect as to make her a sensible, amiable, well-informed woman for the rest of her life; though perhaps it was lucky for her husband, who might not have relished domestic felicity in so unusual a form, that she still was occasionally nervous and invariably silly.

I am so sorry, my initial answer came from the novel, Pride and Prejudice. After looking further, I see I gave you an answer from the wrong novel. As to the novel, Pride and Prejudice Zombies, yes, Jane and Bingley do get married in Chapter 61 of this novel as well.