Hi,
When you say 'the doctor's office', I think it would refer to a specific doctor's office, but how about this?
the Doctor's Office -- Now, it is clear that we are dealing with a proper noun, that is 'Doctor's Office' and it would most likely to be considered as 'Doctor's' acting as an adjective, making the whole name as kind of a classifying possessive like 'children's center', but as you can see, now there is the definite article 'the'. Is it clear which noun it is modifying? A capitalizes Doctor or capitatized Office? I think it is the capitalized Office?
How about here, what does 'a' here modify?
Draw a bird's eye view of the classroom. -- I think 'a' modifies the classroom with the basic line of reasoning similar to the one above.