I wouldn't be too worried about it. I went through some stuff like that about 20 years ago, and it never caused me any problems. As long as you have only what's called an 'infraction' on your driving record, you're home free, as nursing schools and state boards of nursing don't care about traffic tickets. You will, however, want to check with the state(s) where you were cited to find out what, if any, additional charges or fines may have been added.
Some states will charge you with a misdemeanor (which does have to be reported to the BON) for missing a court appearance or failing to pay a fine; that's what happened to me in California, so be careful.......the licensing people WILL find out. They do criminal-records checks on everyone who applies for a nursing or CNA license, so don't even think about omitting this piece of information if it turns out you do have a misdemeanor on record! Fortunately, the BONs don't hold that sort of thing against you either; they just want you to be honest.
Good luck, and let me know how it goes for you.