Changing a shape inside a perspective grid

Hi everyone,
I've created a 2-point persective grid on top of a cube (see image below). I'm tyring to recreate the cube and have started by inserting some purple squares into the right side of the perspective grid. I've drawn an ellipse at the corner of the original cube that I'm trying to copy, to indicate where I need my squares to stretch to.
Can anyone tell me how I can stretch my purple squares in perspective so that they match the end of the orignal cube as indicated in the image below? I've tried skewing but this doesn't skew in perspective.
Appreciate any advice.

Thanks for the reply,
I've just switched over to a 3-point perspective as you suggested. The top plane works perfectly but as you can see in the first image the right plane is all distorted and is still not lining up with the template. The second image is a bit better as it's aligning at the top but the bottom and right sections don't align.
Would you know what I'm doing wrong?

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