Q: "dog with open mouth and a toy close by in the air" Does this mean that "A dog has his mouth open."?
A: yes

Q: "A blond man in a blue shirt inspects his tennis racket with his fingers." Does this mean that "The man in the blue shirt is using his finger to fix his broken tennis racket."?
A: it is not possible to tell

Q: "A happy gay couple taking a walk through a park." Does this mean that "A couple is sitting on the bench"?
A: no

Q: "A sitting man playing the violin." Does this mean that "A sitting man is playing violin for spare change."?
A:
it is not possible to tell