Well, I haven't got to the nine-month mark yet, but so far, I'm waaay more emotional than I was pre-baby, mostly because I'm constantly tired. In my case, not so much with the touching stories, but I just can't handle conflict now without tears it seems. I feel like a bit of a chook about it
So I'd say it's pretty normal even with your regular birth, and the fact that you had some unexpected dramas makes it even more so. I wouldn't stress, just go with it, have a cry if you need to.