There are different modes:
Mixed, where you and a chosen partner battle alongside on another- you each get two pokemon
Singles- 1 on 1 (you get 3 pokemon)
Doubles - 2 on 2 (you get 4 pokemon)
As for points, you need to beat seven trainers in a row to get the points and every 3 successful sets you complete in singles you fight a boss, who will give 21 points.
At the beginning you get 3 points per set, no matter what mode you are in, later it increases to 4, then 5
Can I please have best answer?