Is the King James Version inspired?
No, it is not inspired. Only the original writers of scripture e.g. Moses and Paul were actually inspired. But the inspired writings are providentially preserved (Ps 12:6-7; Is 30:8; I Pet 1:25), which means you may use the KJV as inspired scripture, as Luke commended the Bereans and Paul Timothy regarding their copies and/or translations (Acts 17:11; II Tim 3:15).