How do you move a work plane from another work plane after sketching and extruding on the second?
There are several ways. Can you be more specific and if possible post an example. Also what version of SolidWorks are you using?
Assuming the second plane is created in the Part and not one of the three primary planes, you can click on it and choose the Edit icon and edit its definition as needed. That shouldn't cause errors, but without more information it's impossible to say for sure.
With the sketch closed, left-click select the sketch and use the Edit Sketch Plane function.
Depending on the sketch complexity and constraints, you may have to edit the sketch orientation and/or constraints.
Retrieving data ...