In my limited experience, it is likely to be a 1/2 x 20 UNF main thread, locked for reverse running by the central L H screw.
Once that is out, the usual brutal method is to insert the chuck key and git a hearty wallop in the direction to unscrew the chuck.
A replacement chuck should be available.
I got one, a Jacobs, (From a local hardware stockist ) for my big Bosch pistol drill, from a local stockist.. So any Black and Decker or Bosch stockist ought to be able to supply a replacement.
Howard