Maybe the colour of the pickguard will tell you what the finish originally was...
If the pickguard is red tortoiseshell, chances are it was the sunbusrt model.
In the photo, I couldnt quite see the pickguard to see if it is tortoiseshell or black lol.
Of course, older Jagmasters had some finishes that came with a black pickguard. The silver sparkle and candy-apple red version being two especially cool examples.
Good lick with the project, and keep posting. I look forward to hearing how things go.
PS: I like the color, reminds me of a Jazzmaster...