Yes, it sounds like the reverse light switch. I've had to replace mine (although my reverse lights still don't work, so now I have to chase the problem back through the loom - I'm hoping it is a poor contact with one of the bullet connectors, because driver's side fuse box F2 is fine and the bulbs are intact.
Which brake lights aren't working? If all, it is interesting to note that both the brake and reverse lights share the same F2 (10A if I recall correctly) fused power supply - so that may be your culprit.
On my 2001, only the nearside rear brake light is not working. Again, not the bulb (replaced with new to be sure). The rear tail light works fine, so the common earth is fine. So either a corroded contact inside the bulb holder, or a damaged wire/connector somewhere. Again, more fun with the multimeter and an aerosol can of contact cleaner![/QUOTE