TinaL:
As far as I'm aware of, the starry love has a BE that's why I never completed it.
It's not a BE. It's one of those shows where one of the leads die and they bring her/him back through reincarnation or other forms of magic. You don't see the actress or actor but some cgi flying around... then "The End!"
The same with Back to the Brinks, but in this one you see a glimpse of the actress and then "the end!"
I don't think they're considered open ending because it's already said those characters will come back.
TTEOTM, this one has open ending because we don't know if the character will come back or not. Have to use you imagination but in the book it's a happy ending and the leads spend some time with each other then "The end".