Olympus e-PM2 - what am i doing wrong?

What you're doing wrong is using a camera whose capabilities exceed your knowledge of photography, including the basics.

The E-PM2 is a VERY powerful camera ... meaning it's not a point and shoot. It's capable of captures that are very close in image quality to the best of the M4:3 breed.

What you've done is purchase a camera that requires ... no, DEMANDS ... technical knowledge and technical skill. You've purchased a Ferrari without knowing how to drive.

Even without seeing image samples, it's almost certain that the blur you're experiencing is caused by too low a shutter speed. How to increase the shutter speed and still get a good to excellent picture is accomplished by understanding the relationships between focal length, aperture and ISO speed. That is what you need to learn ... the basics ... and that will take books, lessons, courses and taking into account some of the comments here. But the comments, including mine, will not get you as far as reading the books, taking the courses and taking the time to know your camera.

I can assure you that the problems you're experiencing have nothing to do with the E-PM2. It's a great camera, capable of excellent captures in just about any environment, night or day. I own one and have no problems with blurring or any other issues.

What you're doing wrong will be very apparent to you once you learn how to use a camera ... any camera.