Bicycle rear hub sounding weird
Read this. The QR skewer when done up increases the bearing pre-load. Correct bearing adjustment requires a slight wobble when the wheel is off the bike, which stops when the wheel is installed and the QR Skewer done up. 

Its a bit of trial an error getting it right for the first few times.. 

It may also be incorrect bearing size - are you sure you used the correct bearings? - or the broken axle may have caused damaged the hub bearing faces - did you check those before assembly?.