Hi.
Looking at the pic, it seems that it's a normal nut that takes just as normal soket to adjust. Every music shop sould have a few metric and a few imperial to choose from.
As for the bottomed out bridge, shimming the neck will help.
Do string the bass the right way when the new nut is cut, otherwise You'll have a hard time keeping the nut in place.
Regards
Sam
The inside of the truss rod is threaded. I would shim the neck but I can't remove the neck,one of the bolts that holds it in will not budge.