#1: The TPS is measured through the hubs, so it will only detect if a tire is low, but not tell you which one it is. To be honest, I prefer this system to the other system where the sensors are mounted in the wheel, costs too much money.
#2: I haven't seen any GP's with this issue before, I forget the exact name of the security system we run (I'll know it as soon as I post), but it didn't make its way into Impala's until the later years. But you can do a security relearn in case it does happen. It takes about 45 minutes
1. Turn key to start, see security light, move key to on. Wait atleast 15 minutes. Turn to off. Wait 10 seconds.
2. Turn key to start, see security light, move key to on. Wait atleast 15 minutes. Turn to off. Wait 10 seconds. (second time)
3. Turn key to start, see security light, move key to on. Wait atleast 15 minutes. Turn to off. Wait 10 seconds. (third time)
#3: Check ebay for another stereo to replace the whole stereo. When doing a swap with the factory stereo there is code for the theftlock system that the dealer has to remarry to car. I'd suggest an aftermarket route anyways for the added features of an ipod and such. Units with a double din screen are getting extremely cheap and easy to install.