Rose as a middle name - every other little girl will have Rose, May or Grace as a middle name so I would pick a first name that is not very popular, especially if the surname is something like Smith or Jones.
Rosa as a first name is nice.
If you are using Rose as a middle name, don't use a flower/nature/adjective first name. (Scarlett Rose, Daisy Rose, Willow Rose etc)
Mia, Fiadh, Leah, Pia, /Sofia - samey
Ella, Eve/Eva, Ava, Niamh, Evelyn - overused and samey
Rose/Rosa (cousin took Rose in Sept) - I'd say use Rosa
Emelia - Emelia is truly awful. Looks like you couldn't decide between Amelia or Emilia so went for a mishmash.
Ayda - ugly. Ada is ok
Mara, Cara/Kara, Zara, Clara - samey
etc
You have a lot of Irish names on there and a lot of names that have been popular for a long time.
I'd ignore what names you can't use and look for a name you like. If you like Holly you might like Molly or Polly.
What about Dorothy, Jessica, Jemima or Tamsin?