windows 10 - Mouse cursor on multiple screens with different PPI

I'm using a 4K display along with a Full HD display with both almost the same physical size and it brings some mouse cursor problems to me working with it on the default Windows settings.

As the mouse movement speed depends on the pixels, it's very slow on the 4K display and very fast on the Full HD display. Is there a windows setting or application to move the mouse depending on the visible distance and not the pixels?

Another problem is the virtual wall between the screens I can't move the cursor from the upper half of the 4K screen to the Full HD screen:

How is it possible to virtually stretch the cursor transition area of the Full HD screen to the one of the 4K monitor?

The smallest problem, nevertheless painful, is the cursor size which varies between the screens. Is there a way to keep the same visual mouse size on both screens?

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