I think you mostly summarized the possible culprits given the symptom: wiring, selector, pickup. wrt/ wiring it can look ok and still be damaged but if it worked and you have not touch it in any way there's no much reason I can think of that would make it break. This leaves us with the switch - mechanical part, often used, so there might be something wrong here - or the pup. I once had a pup that stopped working due to a dead coil (well, not totally "stopped working" since it was a bucker but...), and it did work fine a few days before. You can easily check the pup with a multimeter (DC resistance, should be somewhere between 6 and 10 KOhms for a Tele bridge). If the pup's ok then check what you get on the switch (in / out) in position 4 (bridge alone).