I'm done with my BSN but I have a reckless driving misdemeanor

Taking the NCLEX: check with your state BON to see if you have to disclose it. As it was a misdemeanor conviction, I'd guess you'll have to report it when you apply for the NCLEX. However, each BON handles traffic violations differently (for example, CA's BRN wants to know about any traffic ticket/violation over $300 even if it's an infraction), so your state BON really is the best source for your answer.

Getting a job: depends on the employer.

Best of luck.