Repeating a sequence of words at the beginning of a phrase is called 'Anaphora' in rhetoric. It is used in speeches to give emphasis to the point being discussed. Thus, the speaker wanted to emphasize his point and encourage his listeners to do something as well.
Adjectives are descriptive words that describe other words and answer a question.
Thus, in your sentence, the adjective is the word red, as is tells the reader what color the shirt is.
Answer:
On your way out" means "as you go out/leave the room, or the building". Most often this would mean that you should lock the door after you have gone out of the building and shut the door behind you. So "lock the door on your way out" really means "Lock the door immediately after you have left the room/building". Which means that it can definitely be considered as giving an order.
As Odysseus was leaving the island of the Cyclops behind, he mocked and talked down on Polyphemus and accused him of being impious. Polyphemus exclaimed that he was the son of Poseidon, yet Odysseus did not believe him.