I ended up taking the door panel off today, and didn't find any issues with the connection to the airbag. Everything was plugged in, and the connector snaps right into place. Followed the wires, and made sure there were no issues with that, and everything checks out.
Still getting the fault codes:
11/A0 - Power supply
F0/80 - Internal control unit fault
12/88 - Fault lamp (AWL)
05/40 - Side airbag, front left
My next bet is that its the airbag control module itself, since its throwing the F0 error, it refuses to clear the errors and operate. I've read up on a couple services that claim they can wipe hard coded errors and send it back to you, plug and play installation. Specifically looking at
https://www.myairbags.com/ Is this my next viable option for fixing my problem?