What causes relay inverter to stop working? This is an A/C issue.

I am sure most would find the long version of this scenario hilarious, but I will stick to the short version to save time.
My A/C stopped working and the A/C light was blinking. I replaced the A/C clutch relay and the A/C worked for a day.

Out of frustration and curiosity, I started identifying everything in my fuse box when I discovered an additional little box attached to the side of the fuse box. Inside was one relay, part number 90987-A2001. The cover identified it as, "AC SKT" I assumed it would be inexpensive like the A/C clutch relay. I was wrong. I damaged it trying to pull it out to get the part number and ended up spending $105.00 for this part. However, when I replaced it the A/C worked like a champ for about 5 weeks. It stopped working this morning and the A/C light is blinking again!

Does anyone have any idea what the root cause of the problem is based on what I did above?

 

Not sure, the inverter (AC SKT) relay and A/C (MG CLT) relay are totally unrelated to each other.

Does the compressor turn on for a few seconds and then turn off with a flashing A/C light?

The flashing A/C light is when the A/C amplifier does not detect a speed signal from the compressor lock sensor after commanding the MG CLT relay on.
Possible causes are:
Open or shorted wire(s) in the lock sensor circuit
Bad lock sensor
Internal problem in the compressor
Open or shorted wire(s) to the MG CLT relay
Open in the wire from the MG CLT relay to the compressor
Failed compressor clutch
Belt slipping
Failed A/C amplifier

You will need to check your wiring
The MG CLT relay should have power on pins 2 and 5 when the ignition switch is on, the A/C amplifier grounds pin 1 to turn it on.
You can momentarily jump pins 3 and 5 of the relay to see if the clutch engages.
Also check the wiring between the lock sensor and A/C amplifier.
The sensor signal itself can only be effectively checked with an oscilloscope.

 

The AC SKT Relay is for the Alternating Current Circuit (Inverter) that powers the plug socket in the bed.

As stated above it has nothing to do with the Air Conditioning Circuit.

 

Thank you, sir. That is very informative and helpful. I had a very hard time finding any information on the AC SKT inverter and what it was for. At least now I know it had nothing to do with the AC kicking back on.
I'll work through the steps you provided and go from there. Thanks again I really appreciate the feedback.