Well, I disagree about the curtain scene.
It was clearly wintery when they went looking for Robin Hood, given how they were both dressed. Belle opens the curtain because it’s almost spring, time to let in the light.
I really do think it’s was a massive production error on the part of the show.
I think they were supposed to be always nailed down, it’s a metaphor.
EDIT
In my head here’s the events. Feel free to disagree!
1) Belle goes with Rumple and he shows her to her “room”
2) Almost the next day, Belle serves him tea and breaks the cup
3) Robin Hood and the events of Lacey come (perhaps a month into her being there)
4) Curtain scene
5) He lets her go and the other events of Skin Deep
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"He was a lot of things to me" "The only conclusion was love"