What did Anna do for a job in Singapore? She was Rory's one-time assistant - did she continue to work for him up until he got sick? She talked about going back there in season 2, so she obviously had some sort of ties to the country.
Didn't Grace inherit that house on the hill, the one where Val found the bloodied napkin, as well as £100k (like Anna did)? There was no mention of that property in season 2. I would've liked to have thought she'd sell it and split the proceeds with her sisters.
In season 1, the red-haired lady went to the house on the hill and confronted Val - had she been staying there? (I'm guessing so, since that's where she was having an affair with Denis?).
There was no mention whatsoever of who Jenny's father was. As I was watching season 1, I thought it would be revealed that her dad was her uncle ... that would have been quite a good thing to weave into the storyline (maybe they will, for season 3?).
Grace can't just up and leave for London - what about her cafe, and all the money she owes on it, etc.?
For a headmistress, Val never spent any time at school (aside from in the first season).
What a shame Val's lover from season 1 didn't appear in season 2 ... they didn't really explain how Ingrid came to live with Mairead, did they?
Jenny seemed to pay her debt off fast - she did mention in season 2 that Val's lover (whose name escapes me) loaned her the money until she could pay it back, but she hadn't been at work for very long to be able to do that ...
At what point did Alannah split with her husband and move in with the uncle? It would've been good to walk through that because it just didn't seem believable.