2002 Jeep Wrangler lights

First problem - the switch is probably your culprit on the fog lights. That's where I would start.

Second - batteries don't like being run dead. They generally can handle it about 4 times and then they becoem duds. If your battery was drained and boosted more than 4 times, you probably have a dud battery that now cannot handle holding a charge anymore. I would have that checked out, and probably replaced. If the switch isn't the problem, and you've changed the battery - good idea when you shut off the vehicle to disconnect the battery to prevent it from being drained until you solve that problem too.