After a ton of troubleshooting and a small amount of money spent, my DIY 5200 controller is working great! I ensured that the solder joints were not loose. I used my multimeter to test for continuity and capacitor voltage. I even opened my 5200 and adjusted the pot, and I even reprogrammed the controller's ATTINY 85 chip. And still nothing changed. So I decided to use six wires and wire the analog stick to the right side of the PCB. I soldered the left side to the six solder pads used for the right side analog and BAM, now works flawlessly.