Quick check. With the chuck rotating, does the leadscrew rotate?
(Insulting question: you have got the tumbler reverse engaged in Forward or Reverse, rather than in Neutral?
Or there could be problem with the change gears – missiing / sheared key?
If NO suspect the shear pin in the drive. (possibly the victim of engaging the half nuts with the saddle locked!)
If YES, the problem would seem to be within the saddle.
Does the operating lever actually open/close the half nuts? NO, Find out why. (lever not rotating shaft / shaft not opening/closing half nuts)
It does happen!
Some time ago, I thought that my lathe had major belt slip problems. Turned out that the inner lever tensioning the belt was slipping on its shaft (Too shallow a dimple in the shaft for the grubscrew to engage. A fairly easy problem to cure).
Howard