While it's true that no boolean operation can be done with the free version of SketchUp (unless someone has made a plugin for that...and it is likely), the boolean can be easily reproduced "manually".
The shape you want to create can be made in SketchUp, and can be produced in similar amount of time to other CAD softwares, such as SolidWorks.
Not sure what you mean with the last part, but moving things by a specific amount IS possible.
The actual problem of SketchUp is the lack of precision, which definitely reveals the non professional nature of the sofware.
Such precision, however, is enough to design a great car for our championship.
If you want to know how to make the mentioned operations, just ask