Describe the relationship that the people in the photograph have.
The first couple appear to be married; the second are colleagues, the third are friends.
working / discussing = colleagues
playing games = friends
They may all indeed be engaged if you decide to use the word engaged to mean that the ones which are not engaged as a couples are busy but that statement then fails to answer the question: what relationship do these people have. You have two perfect answers to that question already.
Even if it is difficult now, you will find that the more you try to write the easier writing in English will become, in other words you get out of the exercise only as much as you put into it.