I can't reproduce any issues with Construct 2 going wrong after changing resolution or sleeping on a laptop. For example, open C2, go to Windows and change the monitor resolution, and C2 is still working correctly. I think it is the graphics card driver's responsibility to make sure C2 comes back intact after the display shuts down or changes, so I think all you can do is make sure your driver is up to date. I suppose it might depend on the driver since it works OK here, but all my hardware is fairly new and probably has better drivers.