Handover sheets: Yes, she had many, which she shouldn't have, but many nurses here say they've often taken home handover sheets. She had lots - not just of babies that had died, and if they had been trophies, then surely she would have destroyed/hidden them once she knew she was under suspicion?
Facebook posts: She searched loads of people she had met/knew. I think it was something like 11 parents out of over 2000 people searched - that's about 0.5% of her searches relating to parents.
Confession notes: Her therapist told her to write down her thoughts, and these were from this. The "confessions" were also among notes protesting her innocence.
Strange giddiness after deaths: This is obviously subjective, and no one apparently noticed at the time, only noticing once they'd been told she was a serial killer. Some of the things she was accused of (taking footprints/bathing dead babies etc) are standard practice in that situation.
Whether she is guilty or not, I think the media did a good job in condemning her before the trial by putting these things out there without context, along with incorrectly used statistics (which they also used at the trial; the police dismissed a statistician very quickly after they asked for more data as they data they had been given needed to be seen in context).
And I don't think the trial showed she was guilty beyond reasonable doubt. That should be a concern for everyone.