I'm sure the wisers SMs here will correct me, but here are my definitions:
Score = full orchestra score
Vocal Book = vocal selections for each song with just the music for the singer
Libretto = text of the music
When I did JCS, I had all three. I used the libretto for my notes and cues ultimately, although I started out using the score. Even when I'm doing musical theater that includes a book, I don't usually get a prop list with the book.
As for JCS, it's a show that can be done so many ways! The key is to have plenty of communication with the director and designers to know what they have in mind, because you could need anything from er... 35 machine guns, to nothing but a wood bowl and a couple of rags or really anything! My production had a prop known as the "fist of love" (don't ask). Talk to the artistic staff and see how they plan to cast and stage the show. You need a Jesus, a Judas, a Mary, the disciples, and probably a "maid by the fire" and "soul sisters." But there are tons of way to do the show and you risk doing a lot of planning for nothing if you don't talk to the staff first and see how they plan to interpret this show.