i don't think you "damaged" the pcb, rather it was just bad or incomplete soldering since you even said the near switches dont' work, usually those are connected to the same connections, wire i guess, and if you solder bad, you're basically creating a bad wire, imo desolder and learn to solder better, like many said a few 10 good practice youtube video's will get you going, make sure you're solder iron is hot, it doesn't necessarily have to be a great solder iron, i soldered an entire cherry board with a cheapo radio shack iron before i got a 100$ one (you really see the difference and quality) but for one or 2 or even 10 switches el cheapo solder iron, or even the solder iron you get in those "hardware kits" is good enough.