Druid- welcome to the forum- when you get a minute, drop by the intro thread and say howdy.
As already said- your .357 revolver can shoot any .357 Magnum or .38 Special. It cannot shoot .357 SIG or .38 S&W.
The Judge is a different caliber. That will use .45 colt (NOT .45 auto) and .410 shotgun shells- most use 2.5 inch shells, but check the markings on your gun.
Of course, the .45 cannot fire .357 Magnum.