3 Weeks of OM-D, 3 Weeks of Rubbish

Lock your camera on a sturdy tripod and take some photos using the self timer with the shutter speed set a various speeds (keep track with notes).

Don't have a tripod.  Just set it a pile of sturdy books or a cement block and use the self timer.

Manually set the focus and fire away, keeping notes.  Then try some with auto focus (still using the self timer for each shot).

Be sure and turn off the stabilization unit for these shots.

This will at least let you see if it's possible to get a sharp image with your camera.  After confirming this, we can move on to other possible issues.