I don't think you will have any problems. However, I will caution you to not make too many comments, if any, about your previous program. You will be repeating some content, but don't say anything like, "Oh, I learned this already in my BSN program" or "This is different from what it was in my BSN program". Someone who makes statements like that could give the impression of being arrogant or a "know-it-all" and that will put a target on your back faster than anything.
I had a student once who was a CNA at the hospital at which she did her clinicals. She knew everything and made darned sure that her classmates and I were aware of her vast expertise. Everything we did in skills lab, why, she had already done it on the floor. The nurses "let" her do caths and dressings and hang IVs because she was a student nurse and they all knew how amazing she was. (Yeah, right.) Her arrogance was frustrating to her fellow students and exasperating to me as the instructor. I never targeted her but I can say that I was mighty happy when the semester was done. Having that student in my class was like a semester-long Maalox moment!
Don't be that student and you'll be fine. Sounds to me like you are very grateful for a second chance and that you will do well. You certainly don't have to lie about having been in another program but a simple "I wasn't ready for the responsibility at the time" or "I had to drop out for personal reasons" should suffice.
Congratulations on getting accepted into two programs and making the decision to carry on with your career. I think you will be very successful!