[JeremyD]

Get a hammer, wear safety glasses and crack the tile on the front of the dip lip. Sometimes you can get under the plywood with a crow bar - or use a recriprocating saw with a long blade to saw the nails (that will save the front of the cabinet. The rest is usally easier to twist off and patch the drywall.

As far as the tub facets - my guess is you are S.O.L -= you'll have to remove back behind to get to the plumbing. Does it have an access panel? drywall? Marble tile? If tile - take a dremel and do a cut around the grout line. Ttry and get a thin screwdrive behind to pry up - almost impossible to do without monkeying up the tile -