Schematics look OK, could be straightened out a bit by shifting/rotating a couple of parts, but generally nice and readable. You should use a “protective earth” (PE) symbol instead of the earth symbols used. It’s bascially the same, but has a circle around it.
The electrical uestions belong on another forum, sorry.
I’m in doubt of whether to lock this thread.
We sometimes do reviews on this forum, even though this it is “off topic”, the goal here is to help people use KiCad, not to design circuits.
But the combination of mains voltage and a question of whether the circuit would work at all is not a good combination. Mains voltage related PCB’s also need special attention to details such as extra wide clearances. I suggest you start with projects that stay below 48V.
Locking this as it has liability consequences. If you are not confident with this sort of design, you are not ready to work with mains voltages - mains can kill
My class on AC motors was quite some time ago. That said, you normally can’t just use a dimmer on an AC motor. I think you can alter the input frequency some but…
Make sure you have a thorough understanding of AC motors before you embark on this project. You might just be killing motors. DC is far more suitable for applications requiring speed regulation as I recall. Again, class was a few decades ago at this point. Only adding this in case this thread shows up in searches.