1: Not me
2: Surely. Put it as high on the wall and as near to the center of the areas using its signal? These things have a maximum output wattage, near .5W(?) and I would think they are set for that by default.
3: Just read an article in the August Macworld entitled
Wi-Fi Troubleshooting. It discusses the info available via the Airport Utility's Manual Setup->Advanced tab section. Signal to noise values for every channel, etc. Unfortunately, I doubt if that utility will 'talk' to your router. OTOH, it should have a web-based, browser interface that can hopefully give you similar info.
More importantly, a donation-ware app <
iStumbler> was suggested for even more info. It not only knows what your router is doing/hearing, but it can detect and evaluate other signals and their channels. That should allow you to select a non-conflicting channel (and band), assuming the city has no plan to do that kind of adjusting for 'special people' like you!
"Good luck, Will Robinson!"
edit: Lawrence's "plane" has flown...