mate
All I would do is go to a tiling supplies and buy a tub of waterproof membrane to paint onto your slab. But is waterproofing behind a laundry tub required? There are plenty of brochures on line to tell you how to waterproof an area which can assist.
Don't know about the recommended step up into the laundry, but 5mm may present as a trip hazard.
With the tiles straight on the floor boards, try heating them up to soften the glue then lift them straight up. Tiles would be heated with a blow torch to soften and shape, especiallu if they were run up a wall to form a barrier. Hit one with a heat gun to see if it works. Then once lifted, you can clean off the glue. I would be lifting them and not tiling straight onto them.
cheers