About removing the side plate to get into the inner workings...
They were hand fit very precisely... if there is a burr or ripple of any kind in the fitting line, then someone took it of incorrectly and mucked up the fit.
DO NOT use a screwdriver or anything else to pry it loose-you will cause a burr at the top edge when the plate comes free... instead, like JPicker indicated, take the grips off and use a wood or plastic 'whacker' (not a metal hammer) to give it a couple sharp raps on the bare GRIP FRAME... this will vibrate it off.
Sounds like someone tried to do a trigger job and messed up the hammer/sear/trigger interface... you might have to replace the hammer or trigger depending on what was done. If that is the case, then i would send it in to S&W and let them fix it... also check to make sure there is a spring inside the rebound slide-although you might be able to get it out, it takes a special tool to get back together. Also check t see if the mainspring (runs up the grip frame) strain screw (low front of grip) is tight and that the top 'hooks' hasn't come off the hammer stirrup.
Get Jerry Kuhnhausen's S&W shop manual- it details every aspect of working on S&W revolvers.