[GarySP]

Hey Ron, one other trick you might try is applying heat with a heat gun to the trim on the original panels.  Try not to heat the panel itself or you might scorch it.  Don't worry about scorching the trim, you're scrapping that anyway.  After you get it good and hot try sliding a putty knife or lock blade knife between the trim and the panel.  The heat may soften the hold on the glue enough to release the pieces with a little effort.  Good practice for future projects.
For the bottom trim on the cabinets you might try this.  You can get wood trim cut in the shape of an "L" at most of the big box stores.  Looks kinda like wooden angle iron.  Measure the cabinet WITH the grille cloth on it  Cut the trim at 45 degree angles to essentially build a picture frame with the inside dimensions just a whisper larger than the cabinet measurements.  This can be done carefully with a hand miter box.  Sand all of the miter cuts smooth to make a tight fit, and then glue them up being very careful to keep the frame square.  Clamp it until dry, then sand and finish it.  You can then slide the trim frame onto the cabinet from underneath, and have a lip to nail it to the cabinet into the bottom of the cabinet where it will never be seen.  A little glue and some small finish nails should get the job done.  Once again, just throwing my two cents in...  Take care, Gary