A proper noun would just be something like this “Our city won the Nobel prize for its flowers” I hope this helped you :)
Based on the story, I would say the best word to describe Nadia at the end of the story would be, "accomplished". After seeing her mother in the front row, which reminded her of home and Lucky, she was able to put her fears aside and complete her performance.
Hope this helps.
Take care.
I believe that #4 is incorrect. I think that the noun phrase is "favorite dessert" because it is a phrase containing a noun, while "His favorite" (your answer) doesn't have a noun in it, therefore it cannot be a noun phrase.
The rest look right!
lonesome, without company, um yeah thats all I can think of