key fob battery
#6
Hmm, the flip out key fob for my Audi is the one electrical thing on the car that HASN'T failed. But yes, the LR key fobs are rechargeable. They charge via an electric field generated around the ignition cylinder, so that whenever the key is in the ignition, it is close enough to charge inductively. Side note: apparently, you can tape your two keys together on a long drive to charge both at the same time.
#9
If you have an IID tool, you can now program your own key (should save about $75). Also, I think most places that can laser cut keys should be able to cut the key for your LR3. I don't know if any of the fobs off ebay would work or not... I know a lot of people have had bad luck with them in the past, but I think that one of the problems is that once a key is "programmed" for a certain car, it cannot be reprogrammed for another LR3 (I pretty sure this statement is correct). If you find a brand new, never programmed one (with the immobilizer chip), it might work...