To access your previous week's results, go to the main tournament page, then press the podium button at the bottom right of the playing area.
You'll then see your results from the previous week, a section which I have depicted here. I've circled the 3 main areas of interest.
1. The league I'm currently in. If you're promoted or demoted, then you'd obviously enter the league you were formerly in.
2. The position I finished in the previous week.
3. The number of points I gained (or lost) the previous week.
In the example shown, I finished in 12th place in the Gold League, and gained 5 points. Therefore, my score was Gold, 12, +5.