UPDATE ON THE LG REFRIGERATOR - Called LG Twice this week and spoke to the LG Technical Department Technicians - they gave me two scenario's based on their PTC Schematics - neither one worked. (Both Technician were great guys, great customer service and quick response on phone-not a long wait time). So I pulled out the trusty DIAMOND IN THE ROUGH - My father who started the business some 60 years ago (Now 83) and the schematic had him baffled but he wouldn't let this Frig get the best of him. After numerous tries with different PTC's - stock PTC from LG and an universal PTC - Pop got it going. But he first gave me a lesson in Refrigeration 101. Prove out the compressor 1st - Pulled out the test cords and by-passed the PTC, compressor started, ran and pulled down perfectly. (It was't the compressor - wiring next)! Hooked up the PTC with the Schematic Color Code suggested from manufacturer based on what PTC I had - NO LUCK - Compressor started but was short cycling with one schematic and wouldn't start at all with the other schematic. But like I said Pop wasn't letting this Korean made piece of machinery get the best of him. He reminded me he was in Korea in the 50's during the War. Here's my 83 year old father laying on the cold concrete shop floor with the heater on for HOURS upon end until he got the BEST OF IT!

Bottom Line ALL FIXED !

Thought I just give the Good Schematic that not only started the compressor but kept it running until it reached the temperature called for by the thermostat. EVERYTHING WORKING PERFECT AGAIN!
BOTTOM CENTER PIN OF COMPRESSOR - BLACK COLOR WIRE (COMMON) connects to Thermal Overload
TOP RIGHT PIN OF COMPRESSOR - BLUE COLOR WIRE (Also Bottom Right Spade of P.T.C.)
TOP LEFT PIN OF COMPRESSOR - PINK COLOR WIRE (Also Bottom Left Spade of P.T.C.)
TOP RIGHT SPADE OF P.T.C. - RED COLOR WIRE
Here's my visual schematic looking at the PTC and Compressor from Top to Bottom:
l - Top Right Spade Connection of PTC (RED) Color Wire
(PINK) * l *l - Bottom Right Spade Connection of PTC (Blue) Color Wire
Bottom Left Spade of PTC
*l - Bottom Center Post of Compressor (BLACK) also connects to Thermal Overload
Thank You everyone who helped me out in the previous posts. This site is AWESOME!