Generally first form of verb is used with would.
Usually Article the is used before unique things like Sun, Earth, Moon etc.
I was born in Pakistan ??.
میں پاکستان میں پیدا ہوا۔
Note: Usually no Article is used before the name of countries.
Here the word "Milk" is a material noun but here the sentence is talking about the "particular" milk.
Therefore, article "the" should be used.
Note: "A" or "AN" are used to mention the category of a person or thing.
It was she who came running into the classroom.
She is acting as subject in this sentence.
Generally objection is followed by To.
Objection means اعتراض