Correct in both cases. Banna Minn, and Burravoe. Well done!
To be fair, my grandparents spent their lives just a few miles away from Banna Minn (but on East Burra), so I've been there many times and last year, we stayed in Papil - less than half a mile from where the pic was taken. We had a great time and we even had a close-up view of a pod of orcas.
TBH, I was
very surprised to see the pic on this forum. As you'll know, Banna Minn is right at the very south of West Burra and many (most) visitors don't take the trouble to go so far down the island. Whether you were advised to go there or you went on a whim, you made a good choice to take the trouble to go there - I'll bet that there were very few (if any) people on the beach.
I don't know Burravoe quite so well, though I had a good look around Yell and Unst last year. I'll presume that your ferry pic was taken either between Toft and Yell, or Yell and Unst.
Thank you for posting the pics - Shetland is in my blood and means a great deal to me {hence the flag as my avatar}; I hope that you had a great time there - I can't wait to go back (hopefully, next year).