Your 2002 Lincoln LS ac clutch does not seem to be engaging 134A is fine Is there a relay switch or fuse somewhere that needs replacing?

Yes there is a AC clutch fuse located in the engine compartment. It is a 10 amp fuse' check your manual it will tell the location. If that fuse is blown and continues to blow fuses the have the coil in the compressor checked, also the pressure switch.