Droogs is a new word for me.
It means street gang member or friend.
I did notice all three looked to be about the same age.
They may have already known the drunk guy, and that he was mostly non-violent. I’ll bet actually tucking him into bed under pulled over blankets was her idea. “Let’s tuck the poor Bloke into bed, he’s bloody knackered!”
The "star" is Alex and he and his buddy's are "droogs", probably an invented word for the movie set in England.
It's a weird but poignant (for lack of a better word) movie.