Cplane Origin offset

https://wiki.mcneel.com/rhino/farfromorigin

Yes it matters. Rhino stores geometry in the units used for modeling. Change the units in Options > Units > Model units, select the rescale option, and the numbers used to calculations and storage for the geometry change. Calculations and storage use coordinates in the world coordinate system, not in local Cplane systems.

Possibly. Display problems caused by too far from the origin are a recurring topic in posts here… Display calculations in the GPU use lower precision than geometry calculations in the CPU.

That depends on the size of the details in the geometry.