Like Bill3 said, without knowing her, it's possible the flowers are too much, but in my opinion I think they would be a great idea.

The biggest thing I think is time and transparency. If you're texting someone and she's there, let her know who you're texting. If you're calling someone, let her hear the conversation.

Also, attention. It's something us old farts call courting, but if you let her see that she's the center of your world it helps. If you're distracted by other people, it can lead to her thinking you've got wandering eyes. So simple things like little public displays of affection, complimenting her in public, meeting her at the door, those kinds of things will help cement that she's the apple of your eye.

So to sum up; time, transparency and attention. Good luck out there!