NickiLaughs is right...as long as your W's have been replaced by a letter grade just like in your case, you should be ok. Schools, even those for Nursing, generally look at the classes you took with the most recent grade reported, so instead of looking at the W, they will look at the B instead.
missnurse01 is also right in that W's don't count towards your GPA, but it stays on your transcript. GPA-wise, the school won't factor the W but the B...application-wise, though, it's possible that the school sees the W as "something", which is of course open for interpretation.
As long as you study hard and get better grades in the classes you plan to refresh on, the schools you'd apply to would see an upward trend as far as your grades are concerned: a positive sign that you are definitely working on whatever it is that you may have missed before. Best of luck!