You wouldn’t suffer the crushing g-forces experienced when a booster rocket blasts off its launchpad.
Yes you would. Ever heard of Coreolis force? As you rise in the shaft your tangential velocity has to change from 1000 mph to 18000 mph to get into low earth orbit. A space elevator would only work for geosynchronous orbits, (which are 40000 km up) which is suitable for communications satellites. The tangential velocity at 100 miles up is not high enough to sustain orbit.
