Just had a similar problem with my daughter's item, except that the front fell off, and how to fit it back again!
I assume you want to remove the front panel.
Near the bottom of the door, on the inside, at each side, there should be a screw going through the door and into the false front. The front may then come off with a little jiggling and depressing the plungers at the side which you have already noted.
DWH
April 2007