Reverse light switch smoking when ignition turned on Options

[iwuzazombie]

Hello! My reverse light switch is smoking when ignition is turned on and the #4 fuse blows. Bad switch or what else may cause that? Thanks!

Edit: looks like these wire connectors are bad. Can they be replaced?

Update:
1. everything seemed fine in the car, starting, a few minor electrical weirdness like both blinkers blinking after a second of using them (could be just wrong bulbs i hadn't checked yet) and dash/center console lights not working
2. fuse #4 started blowing and i could smell the electrical smoke
3. went through alot of fuses trying to troubleshoot the problem, checked all the grounds including the tail lights and license plate lights as on forums alot of mentions about those potentially being culprit
4. finally found the reverse switch was smoking, took out the wires which look terrible (as seen in the picture) and then fuse #4 stopped blowing
5. now car turns over but won't start
6. gonna pull the switch today and inspect it and try to replace those male bullet connectors (what a bad design btw!!!)

Could bad connection at that reverse switch cause the car to not start?