How can I see my personal score during reservoir war?

In the Reservoir war map view there will be a score tally at the bottom with the alliance scores. Tap on it and it will show an over view with your own score at the bottom.

During res war you can click on the points (alliance vs alliance) and it will open a pop up in which you can see your personal points.

After res war is over & game has calculated the points - click on res war event tab- you can click on the chest icon too right. You can also check your personal rank by clicking on the person icon top left of screen.