It isn't even the BON you have to worry about - the BON doesn't become involved until after you graduate and actually hold an RN license.
The SCHOOL most likely will do a national background check and decide on your admittance to their program; I would check with your school of choice and direct this question to them for the specifics.
If these were felony offenses, I sincerely doubt you would be permitted into any RN program. I'm very sorry.
