I'd say she be-friended you to "be a friend" and you crossed it by immediately targeting her, talking back and forth then asking for a date.
I agree, friendship is a good place to start.
I'm sure you understand if a woman has just gotten out of a long term relationship you would be a rebound, so if you "still like her" be her friend.
If you are meant to get back together you will, at some point.
Answer:- "Friends it is, I wasn't trying to "hook up", you still look as adorable as you did and I remember that laugh and missed it"... "So the Army, what made you want to consider that?" .......