I can't see the pin nails .....
if you can drive them out through the other side that's your only hope. Use as small of a pin punch as possible and support the far side with a soft wood. Drive them out just far enough to grab them with a vise grip. Put a thin metal plate under the vise grip and rotate them out.
Using pin nails was a bad idea. You could glue the panels in the frames without too much concern for wood movement if they are plywood. Real solid wood panels probably won't expand that much over such a short distance, in my opinion so glue will work for them also. Glue all the joinery as well. I can't tell if they are just butt joints, half laps or what?
The answer to your question will only be as detailed and specific as the question is detailed and specific. Good questions also include a sketch or a photo that illustrates your issue. (:< D)
Last edited by woodnthings; 09-22-2019 at 10:21 AM.