I don't think I've even gotten 4000 shots out of one charge of a D3s battery. 1700 to 2200 seems about right, but I've never actually checked. If you shoot images that require more processing (more compression, noise reduction, etc) batter life will be shorter.
I can't speak from experience on a shutter replacement. But the cost of your other camera sound like ti is about what I have heard other people say it cost them to replace a shutter.