cooling fan

hello, im pretty new to the forums. I have a 2004 mustang 3.8 v6 with 175k, i do all my own upkeep on it (from changing oil to 3 day projects) but this one is stumping me. My girlfriend was driving the car in the insane pa summer heat (96°) and it overheated and coolant overflowed. i let it set...

So I recently got a beat up '03 3.8L to mess around with and discovered my fan wasn't kicking on and found this wiring mess that someone left for me(see attached pictures). I'm not very knowledgeable when it comes to electronic components and don't want to short or damage the CCRM or anything so...