That sounds very sweet but this will definitely open up old wounds. You have to be prepared for the "answer" if you do this. You have to ask yourself what your expectations are and why you really want to do this. Are you setting yourself up for failure?
If you want a friendship, then romance is not the way to go. If you want to start a relationship back then keep in mind that the old problems will still be there. She may be just as dissatisfied as before.
If you are in a place where you are focused on your family issues, I would let it go. If you wish to renew the relationship then that is appropriate. But what will be different. If nothing has changed then it is best to let it go. If you want to rekindle the relationship and you have your life stabilized, then send the flowers.
Decide your motives before sending flowers