Is the V3r the same demensions as the original V3? Will a battery door
from a V3 fit the V3r?

Also,

I was browsing Ebay and saw that there are people selling used
motorola batteries and that they claim they have only been used 2
weeks etc.  Do people buy used batteries when you can get a new one
for a couple bucks more?

I bought a new BR56 battery to see if it will last a bit longer than
the BR50.  

Any comments appreciated.