new phone batteries need some exercise before they 'find their groove'.
I'd say that is certainly true of my iPhone. I have just had my iPhone 3G replaced (8 days out of warranty, but managed to twist their arm a little) and the battery was great, the new one is running down much much quicker than my old one, but the old one did this for the first couple of months too so I'm not too worried.
On my old iPhone the bottom button stopped working, and that renders the phone pretty useless. I have found once you get past the first bit of attitude from the "Genius", Apple's customer care is solid, and I would say if you think you have a problem go and see them and they'll be pretty honest with you. I had to speak with the store manager to get the replacement but everyone was cool about it in the end.
Cheers
Cris.